Geodesic
LINEAR WEINGARTEN HYPERSURFACES WITH BOUNDED MEAN CURVATURE IN THE HYPERBOLIC SPACE
Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 653-663

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

We apply appropriate maximum principles in order to obtain characterization results concerning complete linear Weingarten hypersurfaces with bounded mean curvature in the hyperbolic space. By supposing a suitable restriction on the norm of the traceless part of the second fundamental form, we show that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder, when its scalar curvature is positive, or to a spherical cylinder, when its scalar curvature is negative. Related to the compact case, we also establish a rigidity result. 
AQUINO, CÍCERO P.; LIMA, HENRIQUE F. DE; VELÁSQUEZ, MARCO ANTONIO L. LINEAR WEINGARTEN HYPERSURFACES WITH BOUNDED MEAN CURVATURE IN THE HYPERBOLIC SPACE. Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 653-663. doi: 10.1017/S0017089514000548
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     author = {AQUINO, C\'ICERO P. and LIMA, HENRIQUE F. DE and VEL\'ASQUEZ, MARCO ANTONIO L.},
     title = {LINEAR {WEINGARTEN} {HYPERSURFACES} {WITH} {BOUNDED} {MEAN} {CURVATURE} {IN} {THE} {HYPERBOLIC} {SPACE}},
     journal = {Glasgow mathematical journal},
     pages = {653--663},
     year = {2015},
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     doi = {10.1017/S0017089514000548},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000548/}
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