Geodesic
Isometric immersions in the hyperbolic space with their image contained in a horoball
Glasgow mathematical journal, Tome 43 (2001) no. 1, pp. 1-8

Voir la notice de l'article provenant de la source Cambridge University Press

We give a sharp lower bound for the supremum of the norm of the mean curvature of an isometric immersion of a complete Riemannian manifold with scalar curvature bounded from below into a horoball of a complex or real hyperbolic space. We also characterize the horospheres of the real or complex hyperbolic spaces as the only isometrically immersed hypersurfaces which are between two parallel horospheres, have the norm of the mean curvature vector bounded by the above sharp bound and have some special groups of symmetries. 
Lluch, Ana. Isometric immersions in the hyperbolic space with their image contained in a horoball. Glasgow mathematical journal, Tome 43 (2001) no. 1, pp. 1-8. doi: 10.1017/S0017089501010011
@article{10_1017_S0017089501010011,
     author = {Lluch, Ana},
     title = {Isometric immersions in the hyperbolic space with their image contained in a horoball},
     journal = {Glasgow mathematical journal},
     pages = {1--8},
     year = {2001},
     volume = {43},
     number = {1},
     doi = {10.1017/S0017089501010011},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089501010011/}
}
TY  - JOUR
AU  - Lluch, Ana
TI  - Isometric immersions in the hyperbolic space with their image contained in a horoball
JO  - Glasgow mathematical journal
PY  - 2001
SP  - 1
EP  - 8
VL  - 43
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089501010011/
DO  - 10.1017/S0017089501010011
ID  - 10_1017_S0017089501010011
ER  - 
%0 Journal Article
%A Lluch, Ana
%T Isometric immersions in the hyperbolic space with their image contained in a horoball
%J Glasgow mathematical journal
%D 2001
%P 1-8
%V 43
%N 1
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089501010011/
%R 10.1017/S0017089501010011
%F 10_1017_S0017089501010011

Cité par Sources :