Papers
Gil-Medrano, O. Volume minimising unit vector fields on three dimensional space forms of positive curvature. Calc. Var. 61, article 66 (2022). https://doi.org/10.1007/s00526-021-02177-1
Beltrán J. V., Buenrostro B., Forner, L. and Gil-Medrano, O. Comparison of the root canal curvatures of human teeth with the curvatures of the resin blocks used as models for training.International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering. AMINSE 2017. Springer Proceedings in Mathematics and Statistics 276 (2019), pp. 17-31,
Gil-Medrano, O. Area minimizing projective planes on the projective space of dimension 3 with the Berger metric. C. R. Math. Acad. Sci. Paris 354 (2016), no. 4, 415-417. 53A20(53C42) MR3473559
Borrelli, Vincent(F-LYON-ICJ); Gil-Medrano, Olga(E-VLNCM-GT) Area-minimizing vector fields on round 2-spheres. J. Reine angew. Math. 640 (2010), 85–99. 53C20 (53C42) MR2629689 (2011k:53035)
Borrelli, Vincent(F-LYON-ICJ); Gil-Medrano, Olga(E-VLNCM-GT) A critical radius for unit Hopf vector fields on spheres. Math. Ann. 334 (2006), no. 4, 731–751. 53C20 MR2209254 (2007a:53070)
Gil-Medrano, Olga(E-VLNC-GT); Hurtado, Ana(E-VLNC-GT) Volume, energy and generalized energy of unit vector fields on Berger spheres: stability of Hopf vector fields. Proc. Roy. Soc. Edinburgh Sect. A 135 (2005), no. 4, 789–813. 53C20 MR2173340 (2006f:53041)
Gil-Medrano, Olga(E-VLNC-GT) Unit vector fields that are critical points of the volume and of the energy: characterization and examples. Complex, contact and symmetric manifolds, 165–186, Progr. Math., 234, Birkhäuser Boston, Boston, MA, 2005. 53C43 (53C42) MR2105148 (2005h:53114)
Gil-Medrano, O.(E-VLNCM-GT); González-Dávila, J. C.(E-LALA-GF); Vanhecke, L.(B-KUL) Harmonicity and minimality of oriented distributions. Israel J. Math. 143 (2004), 253–279. 58A30 (58E20) MR2106986 (2005g:58004)
Gil-Medrano, Olga(E-VLNCM-GT); Hurtado, Ana(E-VLNCM-GT) Spacelike energy of timelike unit vector fields on a Lorentzian manifold. J. Geom. Phys. 51 (2004), no. 1, 82–100. 53C50 (53C20)MR2078686 (2005f:53115)
Borrelli, Vincent(F-LYON-GD); Brito, Fabiano(BR-SPL); Gil-Medrano, Olga(E-VLNCM-GT)The infimum of the energy of unit vector fields on odd-dimensional spheres. Ann. Global Anal. Geom. 23 (2003), no. 2, 129–140. 53C20 (58E15) MR1961372 (2003m:53046)
Borrelli, Vincent(F-LYON-GD); Brito, Fabiano(BR-SPL); Gil-Medrano, Olga(E-VLNCM-GT) An energy minimizing family of unit vector fields on odd-dimensional spheres. Global differential geometry: the mathematical legacy of Alfred Gray (Bilbao, 2000), 273–276, Contemp. Math., 288, Amer. Math. Soc., Providence, RI, 2001. 53C20 (58E15) MR1939523 (2003i:53041)
Gil-Medrano, Olga(E-VLNCM-GT); Llinares-Fuster, Elisa(E-VLNCM-GT) Minimal unit vector fields. Tohoku Math. J. (2) 54 (2002), no. 1, 71–84. 53C42 (53C20 53C25) MR1878928 (2002j:53086)
Gil-Medrano, Olga(E-VLNC-GT) Gradients and Hessians of geometric functionals. (Spanish. English summary) Proceedings of the IX Fall Workshop on Geometry and Physics (Vilanova i la Geltrú, 2000), 65–77, Publ. R. Soc. Mat. Esp., 3, R. Soc. Mat. Esp., Madrid, 2001. 58D15 (58D17 58E11 58E15) MR1939542 (2003k:58011)
Gil-Medrano, Olga(E-VLNC-GT) Volume and energy of vector fields on spheres. A survey. Differential geometry, Valencia, 2001, 167–178, World Sci. Publ., River Edge, NJ, 2002. 53C20 MR1922046 (2004c:53037)
Gil-Medrano, O.(E-VLNC-GT); Llinares-Fuster, E.(E-VLNC-GT) Energy and volume of unit vector fields: second variation. (Spanish. English summary) Proceedings of the VIII Fall Workshop on Geometry and Physics (Spanish) (Medina del Campo, 1999), 119–125, Publ. R. Soc. Mat. Esp., 2, R. Soc. Mat. Esp., Madrid, 2001. 53C20 (58E30)
MR1871016 (2002h:53053)
Gil-Medrano, O.(E-VLNCM-GT); González-Dávila, J. C.(E-LALA-GF); Vanhecke, L.(B-KUL) Harmonic and minimal invariant unit vector fields on homogeneous Riemannian manifolds. Houston J. Math. 27 (2001), no. 2, 377–409. 53C30 (53C20 58E20) MR1874102 (2002j:53058)
Gil-Medrano, Olga(E-VLNCM-GT) Relationship between volume and energy of vector fields. Differential Geom. Appl. 15 (2001), no. 2, 137–152. 53C43 (53C20 58E20) MR1857559 (2002f:53112)
Gil-Medrano, Olga(E-VLNC-GT); Llinares-Fuster, Elisa(E-VLNC-GT) Second variation of volume and energy of vector fields. Stability of Hopf vector fields. Math. Ann. 320 (2001), no. 3, 531–545. 53C43 (58E20) MR1846776 (2002m:53100)
Gil-Medrano, O.(E-VLNC-GT); Llinares-Fuster, E.(E-VLNC-GT) Energy and volume of unit vector fields: first variation. (Spanish. English summary) Proceedings of the 7th Autumn Conference on Differential Geometry and its Applications (Spanish) (Valencia, 1998), 71–80, Publ. R. Soc. Mat. Esp., 1, R. Soc. Mat. Esp., Madrid, 2000. 58E15 (53C20 58E20) MR1791226 (2001h:58017)MR0777737 (86m:58150)
Gil-Medrano, Olga(E-VLNC-GT) A Riemannian generalization of a result of DeWitt concerning Ricci-flat Lorentz metrics. J. Math. Phys. 37 (1996), no. 8, 4017–4024. 53C50 (53C25) MR1400829 (97f:53103)
Gil-Medrano, Olga(E-VLNC-GT) Some Riemannian functionals related with scalar curvature. (Spanish. English summary) Differential geometry and its applications (Santiago de Compostela, 1995), 17–27, An. Fís. Monogr., 3, CIEMAT, Madrid, 1996. 58E11 (53C20) MR1420624 (97g:58040)
Gil-Medrano, Olga(E-VLNCM-GT); Michor, Peter W.(A-WIEN) Geodesics on spaces of almost Hermitian structures. Israel J. Math. 88 (1994), no. 1-3, 319–332. 58B20 (58D17) MR1303501 (95i:58019)
Gil-Medrano, O.(E-VLNCM-GT); Montesinos Amilibia, A.(E-VLNCM-GT) About a decomposition of the space of symmetric tensors of compact support on a Riemannian manifold. New York J. Math. 1 (1994/95), 10–25, electronic. 58D15 (58D17 58G03) MR1281077 (95k:58022)
Gil-Medrano, Olga(E-VLNCM-GT); Michor, Peter W.(A-WIEN); Neuwirther, Martin(A-WIEN) Pseudo-Riemannian metrics on spaces of bilinear structures. Quart. J. Math. Oxford Ser. (2) 43 (1992), no. 170, 201–221. 58D17 (58B20) MR1164623 (93c:58037)
Gil-Medrano, Olga(E-VLNC-GT); Michor, Peter W.(A-WIEN)The Riemannian manifold of all Riemannian metrics. Quart. J. Math. Oxford Ser. (2) 42 (1991), no. 166, 183–202. 58D17 (58B10 58B20) MR1107281 (92f:58024)
Gil-Medrano, Olga(E-VLNC-GT) Connected sums and the infimum of the Yamabe functional. Differential geometry, Peñíscola 1985, 160–167, Lecture Notes in Math., 1209, Springer, Berlin, 1986. 58G30 (53C20) MR0863754 (88a:58206)
Gil-Medrano, O.(E-VLNC-GT) On the Yamabe problem concerning the compact locally conformally flat manifolds. J. Funct. Anal. 66 (1986), no. 1, 42–53. 58G30 (53C20) MR0829375 (87k:58283)
Gil-Medrano, Olga(E-VLNC) Sur le problème de Yamabe concernant les variétés compactes localement conformément plates. (French. English summary) [On the Yamabe problem concerning compact locally conformally flat manifolds] C. R. Acad. Sci. Paris Sér. I Math. 300 (1985), no. 3, 75–77. 58G30 (35J60 53C20) MR0777737 (86m:58150)
Gil-Medrano, O.(E-VLNC); Naveira, A. M.(E-VLNC)Some remarks about the Riemannian curvature operator of a Riemannian almost-product manifold. Rev. Roumaine Math. Pures Appl. 30 (1985), no. 8, 647–658. 53C15 (53C12) MR0826689 (87d:53067)
Gil-Medrano, Olga(E-VLNC)Geometric properties of some classes of Riemannian almost-product manifolds. Rend. Circ. Mat. Palermo (2) 32 (1983), no. 3, 315–329. 53C15 MR0743196 (85k:53034)
Gil-Medrano, O.(E-VLNC); Naveira, A. M.(E-VLNC)The Gauss-Bonnet integrand for a class of Riemannian manifolds admitting two orthogonal complementary foliations. Canad. Math. Bull. 26 (1983), no. 3, 358–364. 53C12 (53C15) MR0703413 (85c:53062)