Investigación/Research

 

COMITÉ EDITORIAL/EDITORIAL BOARD

       

   

   

ARTÍCULOS PUBLICADOS/PAPERS

       

  • Spacelike energy of timelike unit vector fields on a Lorentzian manifold (with O. Gil-Medrano),  J. Geom. Phys. 51 (2004), no. 1, 82--100. [PDF]

  • Volume, energy and generalized energy of unit vector fields on Berger spheres: stability of Hopf vector fields (with O. Gil-Medrano),  Proc. Roy. Soc. Edinburgh Sect. A 135 (2005), no. 4, 789--813. [PDF]

  • Area-stationary surfaces inside the sub-Riemannian three-sphere (with C. Rosales), Math. Ann. 340 (2008), no. 3, 675--708. [PDF]

  • Stability numbers in K-contact manifolds,  Differential Geom. Appl. 26 (2008), no. 3, 227--243. [PDF]

  • Torsional rigidity of submanifolds with controlled geometry (with S. Markvorsen and V. Palmer),  Math. Ann. 344 (2009), no. 3, 511--542. [PDF]

  • Instability of Hopf vector fields on Lorentzian Berger spheres,  Israel J. Math. 177 (2010), no. 1, 103--124. [PDF]

  • Geometric analysis of Lorentzian distance function on spacelike hypersurfaces (with L.J. Alías and V. Palmer),  Trans. Amer. Math. Soc. 362 (2010), no. 10, 5083--5106. [PDF]

  • The classification of complete stable area-stationary surfaces in the Heisenberg group H^1 (with M. Ritoré and C. Rosales),  Adv. Math. 224 (2010), 561--600. [PDF]

  • A note on the p-parabolicity of submanifolds (with V. Palmer),  Pot. Anal. 34 (2011), 101--118. [PDF]

  • Comparison of moment exit spectra for extrinsic metric balls (with S. Markvorsen and V. Palmer),  Pot. Anal. 36 (2012), 137--153. [PDF]

  • Comparison results for capacity (with V. Palmer and M. Ritoré),  Indiana Univ. Math. J. 61 (2012), 539--555. [PDF]

  • Existence, characterization and stability of Pansu spheres in sub-Riemannian 3-space forms (with C. Rosales), Calc. Var. Partial Differential Equations 365 (2015), no. 3, 3183--3227. [PDF]

  • Estimates of the first Dirichlet eigenvalue from exit time moment spectra (with S. Markvorsen and V. Palmer), Math. Ann. 365 (2016), no. 3-4, 1603--1632. [PDF]

  • Strongly stable surfaces in sub-Riemannian 3-space forms (with C.Rosales), Nonlinear Anal. 155 (2017), 115--139. [PDF]

  • Parabolicity criteria and characterization results for submanifolds of bounded mean curvature in model manifolds with weights (with V. Palmer and C.Rosales), Nonlinear Anal. 192 (2020), 111681. [PDF]
  • Intrinsic and extrinsic comparison results for isoperimetric quotients and capacities in weighted manifolds (with V. Palmer and C.Rosales), J. Math. Anal. Appl. 492 (2020), no. 2, 124488. [PDF]
  • An instability criterion for volume-preserving area-stationary surfaces with singular curves in sub-Riemannian 3-space forms (with C. Rosales), Calc. Var. Partial Differential Equations 59 (2020), 165. [PDF]

   

   

PREPUBLICACIONES/PREPRINTS

       

  • Area-minimizing properties of Pansu spheres in the sub-Riemannian 3-sphere (with C. Rosales), [PDF]
  • First Dirichlet eigenvalue and exit time moments: A survey (with V. Gimeno), [PDF]

   

   

CAPÍTULOS DE LIBROS/ BOOK CHAPTERS

       

  • Estabilidad de superficies en la 3-esfera sub-riemanniana (with C. Rosales), Florentino García Santos: in memoriam, Editorial Universidad de Granada, vol. 224 (2011), 87-94.
  • Distance Geometric Analysis on Manifolds (with S. Markvorsen and V. Palmer), In: Global Riemannian Geometry: Curvature and Topology, Advanced Courses in Mathematics - CRM Barcelona (Second Edition). Birkhäuser, Cham. (2020). [DOI]

   

   

PUBLICACIONES EN ACTAS DE CONGRESOS/PROCEEDINGS

       

  • Volume, energy and spacelike energy of vector fields on Lorentzian manifolds, Proc. II Internat. Meeting on Lorentzian geometry Murcia 2003, vol. 8 (2004), 89-94. [PDF]

  • Generalized energy of Hopf  vector fields on Berger’s 3-spheres, Proc. of the 9th Conference on Differential Geometry and its Applications, (2005), 69-77. [PDF]

  • Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces (with L.J. Alías and V. Palmer), AIP. Conf. Proc. 1122, 91 (2009). [PDF]

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