The horospherical Gauss-Bonnet type theorem in hyperbolic space

DOI10.2969/jmsj/1179759532zbMath1111.53042OpenAlexW2085415095MaRDI QIDQ861745

María Del Carmen Romero Fuster, Shyuichi Izumiya

Publication date: 30 January 2007

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

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1179759532

zbMATH Keywords

hyperbolic spacehorospherical geometryhyperbolic Gauss-maps

Mathematics Subject Classification ID

Global submanifolds (53C40) Non-Euclidean differential geometry (53A35)

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• The Euler Characteristic of a Generic Wavefront in a 3-Manifold
• Surfaces in R ³
• The hyperbolic Gauss map and quasiconformal reflections.
• Distance functions and umbilic submanifolds of hyperbolic space
• SINGULARITIES OF HYPERBOLIC GAUSS MAPS
• SINGULARITIES OF EVOLUTES OF HYPERSURFACES IN HYPERBOLIC SPACE

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