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.
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页码：129 / 143
页数：15
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