On the geometry of linear Weingarten hypersurfaces in the hyperbolic space

DOI10.1007/s00605-013-0476-3zbMath1279.53055OpenAlexW2031193108MaRDI QIDQ368511

Henrique Fernandes de Lima, Cicero Pedro Aquino

Publication date: 23 September 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0476-3

zbMATH Keywords

hyperbolic spaceLaplaciantotally umbilical hypersurfaceslinear Weingarten hypersurfacesCheng-Yau operatorhyperbolic cylinders

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

Related Items

On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces, Strongly stable linear Weingarten hypersurfaces immersed in the hyperbolic space, LINEAR WEINGARTEN HYPERSURFACES WITH BOUNDED MEAN CURVATURE IN THE HYPERBOLIC SPACE, New rigidity results for complete LW submanifolds immersed in a Riemannian space form via certain maximum principles, Linear Weingarten submanifolds in the hyperbolic space, LW-surfaces with higher codimension and Liebmann's theorem in the hyperbolic space, Complete hypersurfaces with two distinct principal curvatures in a space form

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