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

Abstract

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

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