Total Curvature of Complete Surfaces in Hyperbolic Space

J. O'hara, G. Solanes

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Resum

We present a Gauss–Bonnet type formula for complete surfaces in n-dimensional hyperbolic space Hn under some assumptions on their asymptotic behaviour. As in recent results for Euclidean submanifolds (see Dillen–Kühnel [4] and Dutertre [5]), the formula involves an ideal defect, i.e., a term involving the geometry of the set of points at infinity
Idioma originalEnglish
Nombre de pàgines3
DOIs
Estat de la publicacióPublicada - 2015

Sèrie de publicacions

NomTrends in Mathematics

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