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Total Curvature of Complete Surfaces in Hyperbolic Space
- Source :
- Trends in Mathematics ISBN: 9783319212838
- Publication Year :
- 2015
- Publisher :
- Springer International Publishing, 2015.
-
Abstract
- We present a Gauss–Bonnet type formula for complete surfaces in n-dimensional hyperbolic space \(\mathbb{H}^{n}\) under some assumptions on their asymptotic behaviour. As in recent results for Euclidean submanifolds (see Dillen–Kuhnel [4] and Dutertre [5]), the formula involves an ideal defect, i.e., a term involving the geometry of the set of points at infinity.
Details
- ISBN :
- 978-3-319-21283-8
- ISBNs :
- 9783319212838
- Database :
- OpenAIRE
- Journal :
- Trends in Mathematics ISBN: 9783319212838
- Accession number :
- edsair.doi...........4bed982876fd7eab908b1665029770b2