On the geometry of horospheres
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Publication:466221
DOI10.4171/CMH/329zbMath1308.53091MaRDI QIDQ466221
Cicero Pedro Aquino, Henrique Fernandes de Lima
Publication date: 24 October 2014
Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)
hyperbolic spacehorospheresmean curvaturede Sitter spaceGaussian curvaturesupport functionhyperbolic cylindersBerstein-type propertiesLorentz Gauss mapping
Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
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ON THE UMBILICITY OF HYPERSURFACES IN THE HYPERBOLIC SPACE ⋮ Characterizing horospheres of the hyperbolic space via higher order mean curvatures ⋮ Revisiting the geometry of horospheres of the hyperbolic space
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