Complete CMC hypersurfaces in the hyperbolic space with prescribed Gauss mapping

DOI10.1090/S0002-9939-2014-12118-6zbMath1298.53049MaRDI QIDQ3190342

Cicero Pedro Aquino, Henrique Fernandes de Lima, Abdênago A. Barros

Publication date: 16 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

hyperbolic spacemean curvaturecomplete hypersurfacestotally umbilical hypersurfacesGauss mappingspace-like hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (6)

Strongly stable linear Weingarten hypersurfaces immersed in the hyperbolic space ⋮ Characterizations of immersed gradient almost Ricci solitons ⋮ ON THE UMBILICITY OF HYPERSURFACES IN THE HYPERBOLIC SPACE ⋮ Characterizing horospheres of the hyperbolic space via higher order mean curvatures ⋮ On the Gauss map of Weingarten hypersurfaces in hyperbolic spaces ⋮ Nomizu-Smyth type results in the hyperbolic and De Sitter spaces via Gauss-Kronecker curvature

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