TOTALLY GEODESIC HYPERSURFACES IN MANIFOLDS OF NONPOSITIVE CURVATURE

被引：0

作者：

GOETTE, S ^{[1
]}

SCHROEDER, V ^{[1
]}

机构：

[1] UNIV ZURICH,INST MATH,CH-8057 ZURICH,SWITZERLAND

来源：

MANUSCRIPTA MATHEMATICA | 1995年 / 86卷 / 02期

关键词：

D O I：

10.1007/BF02567986

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we determine the structure of an embedded totally geodesic hypersurface F or, more generally, of a totally geodesic hypersurface F without selfintersections under arbitrarily small angles in a compact manifold M of nonpositive sectional curvature. Roughly speaking, in the case of locally irreducible M the result says that F has only finitely many ends, and each end splits isometrically as K x (0, infinity), where K is compact.

引用

页码：169 / 184

页数：16

共 10 条

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