Resumen de Lagrangian submanifolds in complex space forms, the Maslov form in S-manifolds, generalized S-space forms and n-Einstein para-S manifolds

Alicia Prieto Martín

• español

  En esta memoria presentamos cinco art culos que han sido publicados como resultado de la investigacion que estamos realizando, parte de la cual se ha desarrollado en el Departamento de Geometr a y Topolog a de la Universi-dad de Sevilla disfrutando de una beca predoctoral de la Fundacion Camara (1/10/2010 - 31/12/2013), bajo la direccion de los Drs. Luis M. Fernandez Fernandez y Pablo S. Alegre Rueda.

  Dichos art culos se desarrollan en el ambito de la Geometr a Semi-Rie-manniana y son los siguientes:

  A. Carriazo, J. Barrera, L.M. Fernandez and A. Prieto-Mart n, \The Maslov form in non-invariant slant submanifolds of S-space-forms". Ann. Mat. Pura Appl., 191 (2012), 803-818;

  DOI 10.1007/s10231-011-0207-0 B.-Y. Chen and A. Prieto-Mart n, \Classi cation of Lagrangian sub-manifolds in complex space forms satisfying a basic equality involving (2; 2)". Di . Geom. Appl., 30(1) (2012), 107-123; DOI:10.1016/j.difgeo.2011.11.008 B.-Y. Chen, A. Prieto-Mart n and Xianfeng Wang, \Lagragian subman-ifolds in complex space forms satisfying an improved equality involving (2; 2)". Publ. Math. Debrecen, 82(1) (2013), 193-217.

  A.M. Fuentes, L.M. Fernandez and A. Prieto-Mart n, \Generalized S-space forms". Publ. Inst. Math. (Beograd) N.S., 94(108) (2013), 151-161;

  DOI:10.2998/PIM1308151P L.M. Fernandez and A. Prieto-Mart n, \On -Einstein para-S-mani-folds". Bull. Mal. Math. Sci. So. (2015);

  DOI 10.1007/s40840-015-0156-7

• English

  In this memory we present ve papers which have been published as a result of our researching, part of which has been done at the Department of Geometry and Topology of the University of Seville, thanks to a predoctoral grant of \Fundacion Camara" (1/10/2010 - 31/12/2013) under the supervision of Drs. Luis M. Fernandez Fernandez and Pablo S. Alegre Rueda.

  These papers are developed in the subject of Semi-Riemannian Geometry being them the following:

  A. Carriazo, J. Barrera, L.M. Fernandez and A. Prieto-Mart n, \The Maslov form in non-invariant slant submanifolds of S-space-forms". Ann. Mat. Pura Appl., 191 (2012), 803-818;

  DOI 10.1007/s10231-011-0207-0 B.-Y. Chen and A. Prieto-Mart n, \Classi cation of Lagrangian sub-manifolds in complex space forms satisfying a basic equality involving (2; 2)". Di . Geom. Appl., 30(1) (2012), 107-123; DOI:10.1016/j.difgeo.2011.11.008 B.-Y. Chen, A. Prieto-Mart n and Xianfeng Wang, \Lagrangian sub-manifolds in complex space forms satisfying an improved equality in-volving (2; 2)". Publ. Math. Debrecen, 82(1) (2013), 193-217.

  A.M. Fuentes, L.M. Fernandez and A. Prieto-Mart n, \Generalized S-space forms". Publ. Inst. Math. (Beograd) N.S., 94(108) (2013), 151-161;

  DOI:10.2998/PIM1308151P L.M. Fernandez and A. Prieto-Mart n, \On -Einstein para-S-mani-folds". Bull. Mal. Math. Sci. So. (2015);

  DOI 10.1007/s40840-015-0156-7