Articles
25
Enhancing a kernel method for shape analysis in Kendall space, X. Gual-Arnau & J. Monterde, Journal of Mathematical Imaging and Vision, vol. 67, article number 17, Link to JMIV (2025).
A reflecting sundial with cusps of the caustics on a straight line segment, J. V. Beltran & J. Monterde, Journal of Geometry, vol. 116, article number 2, Link to J. of Geometry (2025).
Bézier-Smart surfaces of arbitrary degree, A. Arnal & J. Monterde, Journal of Computational and Applied Mathematics, vol. 457, article 116253 (2025). Link to JCAM.
24
Salkowski curves and Spherical Epicycloids, J. Monterde, Journal of Geometry, Vol. 115, article 31 (2024) Open access.
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank, J. Monterde, Differential Geometry and its Applications, Volume 90, October 2023, article 102040 (2023) Link to the full-text access.
Curvature locus of a 3-manifold having a normal bundle with some flat direction, J. Monterde, RACSAM - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, (2023). Link to full-text access to a view-only version.
Bézier surfaces with prescribed diagonals, A. Arnal and J. Monterde, Journal of Computational and Applied Mathematics, vol. 424, article 115018 (2023). Link to JCAM.
20
The Bertrand curve associated to a Salkowski curve, J. Monterde, Journal of Geometry, Vol. 111: paper number 21 (2020). Link to the J.of Geometry.
19
Eulerian models of the rotating flexible wheelset for high frequency railway dynamics, L. Baeza, J. Giner-Navarro, D. J. Thompson, J. Monterde, J. of Sound and Vibration, Vol. 449, pages 300-314 (2019). Link to JSV
Constant angle surfaces in 4-dimensional Minkowski space, Pierre Bayard, Juan Monterde, Raul C. Volpe, J. of Geometry and Physics, vol. 144, pages 126-146 October (2019). Link to JGP
Holditch’s theorem in 3D space, J. Monterde; D. Rochera, Results in Mathematics, vol. 74, 110 (2019). Link to RIMA
18
On Approximating the Distance Trisector Curve, J. Monterde, F. Ongay, Boletín de la Sociedad Matemática Mexicana 3a. Serie,Volume 24, Issue 2, Pages 483-506. (2018), Link to BSMM.
17
Curvature approximations from parabolic sectors, X. Gual-Arnau, M. V. Ibáñez, J. Monterde, Image Analysis and Stereology Volume 33, Pages 233-241. (2017) Link to IAS .
Explicit Bézier control net of a PDE surface, A. Arnal, J. Monterde, Computers and Mathematics with Applications, Volume 73, Issue 3, February, Pages 483-493 (2017). Link to CMA.
Holditch's ellipse unveiled, J. Monterde; D. Rochera, The American Mathematical Monthly, 124, 403-421 (2017). For an excellent visualization of Holditch's theorem: click here. Many thanks to Wood Croft (Hugo M. Spinelli)!
16
Supermanifolds, symplectic geometry and curvature, Rosalía Hernández-Amador; J. Monterde; J. A. Vallejo, in Geometry, Algebra and Applications: From Mechanics to Cryptography. In Honor of Jaime Muñoz Masqué. Proceedings in Mathematics and Statistics, 116, pags. 135-146 (2016).
Characterization of spherical immersions of surfaces in R4, J. Monterde; R. Volpe, in Bulletin of the Brazilian Mathematical Society, 47 (4) 1037-1049 (2016).
15
Blending of spheres by rotation-minimizing surfaces, Hoffmann, M.; Monterde, J.; Troll, E. , Journal for Geometry and Graphics (2015) 19 (2), 189-200.
14
Quillen superconnections and connections on supermanifolds , J. V. Beltrán; J. Monterde; J. A. Vallejo, Journal of Geometry and Physics 86 (2014) 180-193. Link to arxiv preprint. or Link to JGP.
The distance trisector curve is transcendental, J. Monterde, F. Ongay, Geometriae Dedicata. 171, 1, (2014) 187-201. Link to the Online First Articles.
Generating Harmonic surfaces for interactive design, A. Arnal, J. Monterde, Computers and Mathematics with Applications Volume 67, Issue 10, 1914-1924 (2014). Link to Articles.
On integral manifolds for Leibniz algebras, J. Monterde, F. Ongay, Algebra. An Open Access Journal (2014). Link to Articles in press, or Link to Articles in press.
13
Using visual modelling to study the evolution of lizard colouration: sexual selection drives the evolution of sexual dichromatism in lacertids, Pérez i de Lanuza et. al., first published online in Journal of Evolutionary Biology (2013). Link to the electronically published paper.
Rotation Minimizing Frames and their Application to the Visualization of Chemical Reactions, J. V. Beltran, P. Lahuerta, M. Mochalski, J. Monterde, The Electronic Journal of Mathematics and Technology, vol. 7 (Special Issue, June 2013). Link to the electronically published paper.
12
An isoperimetric type problem for primitive Pythagorean hodograph curves, J. Monterde, F. Ongay, Computer Aided Geometric Design. vol 29 (8) 626-647 (Nov. 2012). Link to the electronically published paper.
Implementing the RSA cryptosystem with Maxima CAS, J. Monterde, J. A. Vallejo, The Electronic Journal of Mathematics and Technology Volume 6 (2012) Number 1 (Feb 2012) . Link to the electronically published paper.
Construction of non-hyperspherical immersions, J. Monterde, Bulletin of the Brazilian Mathematical Society, New Series 43(2), 303-332 (2012) . Link to the electronically published paper.
11
A third order Partial Differential Equation for isotropic boundary based triangular Bézier surface generation, Ana M. Arnal and J. Monterde, Journal of Computational and Applied Mathematics, 236 (2), pp. 184-195 (2011) .
Explicit Polynomial Solutions of Fourth Order Linear Elliptic Partial Differential Equations for Boundary based Smooth Surface Generation, J. Monterde, Hassan Ugail, and Ana M Arnal, Computer Aided Geometric Design, 28 (6), pp. 382-394 (2011) .
Building a Torus with Villarceau Sections, María García-Monera and J. Monterde, Journal of Geometry and Graphics, Volume 15, No. 1, 41-47 (2011) Tutorial on how to build the sliced torus shown in the paper.
PDE triangular Bézier surfaces: Harmonic, biharmonic and isotropic surfaces, A. Arnal, A. Lluch and J. Monterde, Journal of Computational and Applied Mathematics, 235, 1098-1113 (2011) Link to the electronically published paper.
09
The structure of Fedosov supermanifolds, J. Monterde, J. Muñoz-Masqué, J. A. Vallejo, Journal of Geometry and Physics, 59, 540-553 (2009). Link to the electronically published paper.
Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, J. Monterde, Computer Aided Geometric Design, 26 (3), 271-278 (2009) . Link to the electronically published paper.
A Comparative study between biharmonic Bézier surfaces and biharmonic extremal surfaces, J. Monterde & H. Ugail, International Journal of Computers and Applications , 31 (2), 202-2314 (2009) . Link to the electronically published paper.
Two C1-Methods to Generate Bézier Surfaces from the Boundary, P. Centella, J. Monterde, E. Moreno, R. Oset, Computer Aided Geometric Design, 26 (2), 152-173 (2009) . Link to the electronically published paper.
A characterization of helical polynomial curves of any degree , J. Monterde, Advances in Computational Mathematics, vol. 30(1) pp. 61-78 (2009). Link to the electronically published paper in OnlineFirst.
08
Triangular Bézier Approximations to Constant Mean Curvature Surfaces, A. Arnal, A. Lluch and J. Monterde, Proc. of the International Conference on Computational Science 2008 (ICCS 2008), Lecture Notes in Computer Science, vol. 5102/2008, p. 96-105, June 2008.
Problem 11359 on the envelope of Bernstein polynomials, J. Monterde, The American Mathematical Monthly, vol. 115, n. 4, April 2008.
Surfaces with a family of nongeodesic biharmonic curves, J. Monterde, Rendiconti di Matematica e delle sue Applicazioni, vol. 26 pp. 123-131 (2008).
07
Quetzal. Análisis geométrico de una escultura, J. Monterde, dentro del capítulo "Galería de imágenes comentadas" del libro "Las matemáticas del arte" de Vicente Meavilla, Editorial Almuzara, 2007.
Curves with constant curvature ratios, J. Monterde, Boletín de la Sociedad Matemática Mexicana 3a. Serie Volumen 13 Número 1, p. 177-186 (2007)., Preprint arXiv:math.DG/0412323.
A characterization of quintic helices, J.V. Beltran, J. Monterde, Journal of Computational and Applied Mathematics, (2007) Vol 206/1 pp 116-121. Preprint arXiv:math.GT/0502546.
06
Calculus of variations and field theory on graded fiber bundles, J. Monterde, Jaime Muñoz Masqué & José A. Vallejo, Proceedings of the XIV Fall Workshop on Geometry and Physics, Bilbao (2005). Publ. de la RSME X, Eds L.C. de Andrés, J.J. Arroyo, M. Fernández, O.J. Garay, J.J. Mencía, J. Santisteban. Madrid, , 218-224, (2006) .
The Poincaré-Cartan form in superfield theory, J. Monterde, Jaime Muñoz Masqué, & José A. Vallejo, Int. J. Geom. Methods Mod. Phys.,3, 775-822, (2006) .
A General 4th-Order PDE Method to Generate Bézier Surfaces from the Boundary, J. Monterde & H. Ugail, Computer Aided Geometric Design, 23, 208-225, (2006) . Link to the electronically published paper.
05
Newton i l'alquímia, J. Monterde, Mètode, Revista de difusió de la investigació, Monogràfic sobre "Científics i visionaris", no. 44, 75-78, (2005).
04
On harmonic and biharmonic Bézier surfaces, J. Monterde & H. Ugail, Computer Aided Geometric Design, 21, 697-715, (2004) .
A new proof of the existence of hierarchies of Poisson-Nijenhuis manifolds, J. Monterde, Portugaliae Math. vol. 61, 3, pp. 355-368 (2004).
Bézier surfaces of minimal area: the Dirichlet approach, J. Monterde, Computer Aided Geometric Design, Vol 21, pp. 117-136, (2004).
Bézier solutions of the wave equation, J. V. Beltran, J. Monterde, Proceedings of the Second Technical Session on Computer Graphics and Geometric Modeling - TSCG'2004, Assisi (Italia), Lecture Notes in Computer Science series, vol. 3044, Springer-Verlag, pp. 631-640, (2004).
03
Arquitectura i matemàtiques: La geometria al servei de l'art: de Gaudí a Gehry, J. Monterde, Mètode, Revista de difusió de la investigació, Monogràfic sobre "L'art i la forma", no. 37, 49-54, (2003).
The Plateau-Bézier problem, J. Monterde, Proceedings of the Xth IMA Conf. on Mathematics of Surfaces, Leeds (UK), 262-273 (2003). Lecture Notes in Computer Science series, vol. 2768, Springer-Verlag.
The symplectic structure of Euler-Lagrange superequations and Batalin-Vilkoviski formalism, J. Monterde, J. A. Vallejo, J. of Physics, A: Mathematics and General, 36, 4993-5009, 2003.
Triangular Bézier surfaces of minimal area, A. Arnal, Ana Lluch, J. Monterde, Proceedings of the International Workshop on Computer Graphics and Geometric Modeling, CG&GM'2003, Montreal, Lecture Notes in Computer Science series, vol. 2669, Springer-Verlag, 366-375, (2003).
02
Modular class of even symplectic manifolds, J. Monterde, J.A. Vallejo, Theoretical and Math. Phys., vol. 132(1), 934--941, (2002).
Poisson brackets of even symplectic forms on the algebra of differential forms, J. Monterde, J.A. Vallejo, Annals of Global Analysis and Geometry, vol. 22, 267-289, setember 2002.
Bézier surfaces of minimal area, C. Cosin, J. Monterde, Proceedings of the International Workshop on Computer Graphics and Geometric Modeling, CG&GM'2002, Amsterdam, Lecture Notes in Computer Science series, vol. 2330, Springer-Verlag, pag. 72-81 (2002).
A Property on Singularities of NURBS Curves , A. Arnal, Ana Lluch, J. Monterde, Proceedings of the International Workshop on Computer Graphics and Geometric Modeling, CG&GM'2002, Amsterdam, Lecture Notes in Computer Science series, vol. 2330, Springer-Verlag, pag. 229-238 (2002).
Hamiltonian formalism in supermechanics, J.Monterde, J. Muñoz Masqué, International Journal of Theoretical Physics, vol. 41, no.3, march 2002, pp. 429-458.
Divergence operators and odd Poisson brackets, Yvette Kosmann-Schwarzback and Juan Monterde, Ann. Inst. Fourier, n. 52, 2, 419-456 (2002), preprint arXiv:math.QA/0002209.
01
Singularities of rational Bézier curves, J. Monterde. Computer Aided Geometric Design, Vol 18/8, pp.805-816, (2001).
Espacios métricos y geometría Riemanniana, J. Monterde. Un paseo por la Geometría, curso 2000/2001, Publicaciones del Depto. de Matemáticas de la Universidad de Bilbao, pp. 1-24, (2001).
Jacobi-Nijenhuis manifolds, Juan C. Marrero, J. Monterde and Edith Padrón. Actas del VIII Encuentro de Geometría y Física, Medina del Campo (Valladolid), editores M. del Olmo y M. Santander, Universidad de Valladolid, Publicaciones de la Real Sociedad Matemática Española, vol. 2, 195-207 (2001).
99
Jacobi-Nijenhuis manifolds and compatible Jacobi structures, Juan C. Marrero, J. Monterde and Edith Padrón. C.R. Acad. Sci. Paris, t. 329, SÈrie I, p. 797-802, (1999).
97
Geometric properties of involutive distributions on graded manifolds, J. Monterde, J. Muñoz Masqué y O. A. Sánchez Valenzuela. Indagationes Mathematicae, new series, vol. 8, no. 2, pag. 217--246 (1997).
Graded Jacobi structures on the algebra of differential forms, J. V. Beltrán, J. Monterde y O.A. Sánchez-Valenzuela. Compositio Mathematica 106, pag. 43--59 (1997).
Graded metrics adapted to splittings, J. Monterde y O. A. Sánchez Valenzuela. Israel Journal of Mathematics 99 (1997) 231--270.
96
The exterior derivative as a Killing vector field, J. Monterde y O.A. Sanchez Valenzuela. Israel Journal of Mathematics, 93 (1996), 157-170.
95
Graded Poisson brackets on the exterior algebra of differential forms, J. V. Beltrán y J. Monterde. Commentarii Mathematici Helvetici, 70 (1995) 383-402.
94
On the Batchelor trivialization of the tangent supermanifold, J. Monterde y O.A. Sánchez Valenzuela. Proceedings of the Fall Workshop on Differential Geometry and its Applications, Barcelona '93, págs 9-14, (1994), editores X. Gràcia, M.C. Muñoz y N. Román, Universitat Politècnica de Catalunya.
Calculus of variations in a simple superdomain without the Berezinian integral, J. Monterde y O.A. Sanchez Valenzuela. Aportaciones Matemáticas. Serie Comunicaciones, 14, XXVI Congreso Nacional de la Sociedad Matemática Mexicana, págs. 313--318 (1994).
Poisson-Nijenhuis structures and the Vinogradov bracket, J. V. Beltrán y J. Monterde. Annals of Global Analysis and Geometry, 12, págs. 65--78 (1994).
93
Hamiltonian formalism for Berezinian variational problems in supermanifolds, J. Monterde y J Muñoz Masqué, Anales de Física. Monografías, no. 1. 2 vol. Editorial Ciemat, Madrid, Group Theoretical Methods in Physics, Proceedings of the XIX International Colloquium Salamanca Spain, 1992, Eds. M.A. del Olmo, M. Santander and J. Mateos Guilarte. págs. 253-256, vol. II.
A note on the existence of graded extensions of Poisson brackets, L.A. Ibort y J. Monterde, Journal of Geometry and Physics, vol 12, n. 1, págs. 29-34 (1993).
Existence and uniqueness of solutions to superdifferential equations, J. Monterde y O.A. Sanchez Valenzuela, Journal of Geometry and Physics, vol 10, n. 4, págs. 315-344 (1993).
92
A Characterization of Graded Symplectic Structures, J. Monterde. Differential Geometry and its Applications, vol. 2, (1992) págs. 81-97.
Super-Poisson structures on the Cartan algebra of a Poisson manifold, J. Monterde. Differential Geometry and topology applications in physics and technics (Bucharest, 1991), Polytech. Inst. Bucharest Sci. Bull. Electr. Engrg. vol. 53, (1991), no. 3-4 págs. 213-226.
Variational Problems on Graded Manifolds, J. Monterde y J. Muñoz Masqué. Contemporary Mathematics, vol. 132, págs. 551-571, (1992) Comunicación presentada en Int. Conf. on Mathematical Aspects on Classical Field Theory, Seattle, Washington, Julio 1991.
Lifting of Symplectic Structures to Graded Symplectic Structures, J. Monterde. Proceedings of the XXth International Conference of Differential Geometric Methods in Theoretical Physics, New York, Junio 1991. Eds. S. Catto y A. Rocha, Vol. 2, págs. Ed. World Scientific Press. (1992).
Higher order graded and Berezinian Lagrangian densities and their Euler-Lagrange equations, J. Monterde. Annales de l'Institut Henri Poincaré, Physique Théorique, volumen 57, no 1, págs. 3-26 (1992).
Amidine decomposition mechanism. A theoretical study, J. Andrés, J. Krechl, J. Monterde et al.. Journal of Molecular Structure (THEOCHEM), vol. 254, (1992) pags. 465-472. Special issue, Proceedings of the International Congress of theoretical Chemists of Latin Expression, Roma (Italia), Septiembre, 1990.
An algorithm based in Ewald's method to calculate lattice sums in the framework of crystal field theory. Application to the calculation of electrostatic potential inside MX ionic crystals, J. Andrés, A. Beltrán, J. Monterde and M. Fernández. Journal of Molecular Structure (THEOCHEM), vol. 254, (1992) pags. 329-334. Special issue, Proceedings of the International Congress of Theoretical Chemists of Latin Expression, Roma (Italia), Septiembre, 1990.
89
Generalized Symplectomorphisms, J. Monterde. Lecture Notes in Mathematics, vol. 1410, págs. 262-271, (1989) Springer-Verlag. Berlin. Proceedings of the III International Symposium on Differential Geometry, Peñíscola 1988. Eds. Carreras, Gil-Medrano y Naveira.
88
Integral Curves of Derivations, J. Monterde y A. Montesinos. Annals of Global Analysis and Geometry, vol. 6, no 2 (1988), págs. 177-189.
87
Abstract Fluids as Differential Forms, A. Montesinos y J. Monterde. TRAVAUX EN COURS, no 26, Feuilletages riemanniens, quantification géométrique et mécanique. Eds. Dazord, Desolneus-Moulis y Morvan. (1987). Págs. 71-85. Ed. Hermann. Paris.
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