Geodesic
Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product
Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 2, pp. 183-196.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper, we extend a technique due to Romero et al. establishing sufficient conditions to guarantee the parabolicity of complete spacelike hypersurfaces immersed into a Lorentzian Killing warped product whose Riemannian base has parabolic universal Riemannian covering. As applications, we obtain rigidity results concerning these hypersurfaces. A particular study of entire Killing graphs is also made.
DOI : 10.14712/1213-7243.2015.204
Classification : 53B30, 53C42, 53C50
Keywords: Lorentzian Killing warped product; complete spacelike hypersurfaces; parabolic spacelike hypersurfaces; entire Killing graphs 
@article{10_14712_1213_7243_2015_204,
     author = {de Lima, Eudes L. and de Lima, Henrique F. and Lima, Eraldo A. Jr. and Medeiros, Adriano A.},
     title = {Parabolicity and rigidity of spacelike hypersurfaces immersed in a {Lorentzian} {Killing} warped product},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {183--196},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {2017},
     doi = {10.14712/1213-7243.2015.204},
     mrnumber = {3666940},
     zbl = {06773713},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.204/}
}
TY  - JOUR
AU  - de Lima, Eudes L.
AU  - de Lima, Henrique F.
AU  - Lima, Eraldo A. Jr.
AU  - Medeiros, Adriano A.
TI  - Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2017
SP  - 183
EP  - 196
VL  - 58
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.204/
DO  - 10.14712/1213-7243.2015.204
LA  - en
ID  - 10_14712_1213_7243_2015_204
ER  - 
%0 Journal Article
%A de Lima, Eudes L.
%A de Lima, Henrique F.
%A Lima, Eraldo A. Jr.
%A Medeiros, Adriano A.
%T Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product
%J Commentationes Mathematicae Universitatis Carolinae
%D 2017
%P 183-196
%V 58
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.204/
%R 10.14712/1213-7243.2015.204
%G en
%F 10_14712_1213_7243_2015_204
de Lima, Eudes L.; de Lima, Henrique F.; Lima, Eraldo A. Jr.; Medeiros, Adriano A. Parabolicity and rigidity of spacelike hypersurfaces immersed in a Lorentzian Killing warped product. Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 2, pp. 183-196. doi : 10.14712/1213-7243.2015.204. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.204/

Cité par Sources :