Tits geometry of cocompact real-analytic Hadamard manifolds of dimension 4

被引：3

作者：

Hummel, C

Schroeder, V

机构：

[1] ETH Zentrum, Dept Math, CH-8092 Zurich, Switzerland

[2] Univ Zurich, Inst Math, CH-8050 Zurich, Switzerland

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1999年 / 11卷 / 02期

关键词：

nonpositive curvature; tits geometry; higher rank subspaces; homogeneous spaces;

D O I：

10.1016/S0926-2245(99)00025-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a 4-dimensional irreducible real analytic Hadamard manifold with cocompact isometry group Iso(X). We show that if Iso(X) is not discrete, then the Tits boundary of X is isometric to the Tits boundary of a homogeneous Hadamard manifold. As a corollary we obtain a rank rigidity result for these manifolds.

引用

页码：129 / 143

页数：15

共 36 条

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