Total Curvature of Complete Surfaces in Hyperbolic Space

被引：0

作者：

O'Hara, Jun ^{[1
]}

Solanes, Gil ^{[2
]}

机构：

[1] Tokyo Metropolitan Univ, Tokyo, Japan

[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona, Spain

来源：

Extended Abstracts Fall 2013: Geometrical Analysis; Type Theory, Homotopy Theory and Univalent Foundations | 2015年

关键词：

LINKING;

D O I：

10.1007/978-3-319-21284-5_11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a Gauss-Bonnet type formula for complete surfaces in n-dimensional hyperbolic space 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. © 2015 Springer International Publishing Switzerland.

引用

页码：57 / 59

页数：3

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