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On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces

On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces AbstractWe deal with complete generalized linear Weingarten hypersurfaces immersed in hyperbolic spaces. Under appropriate constraints on the image of the Gauss map, we present suitable conditions which guarantee the umbilicity of these hypersurfaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Geometry de Gruyter

On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH Berlin/Boston
ISSN
1615-7168
eISSN
1615-7168
DOI
10.1515/advgeom-2018-0005
Publisher site
See Article on Publisher Site

Abstract

AbstractWe deal with complete generalized linear Weingarten hypersurfaces immersed in hyperbolic spaces. Under appropriate constraints on the image of the Gauss map, we present suitable conditions which guarantee the umbilicity of these hypersurfaces.

Journal

Advances in Geometryde Gruyter

Published: Oct 25, 2018

References