Homogeneous Spaces with Sections

被引：0
作者：
Andreas Kollross
Evangelia Samiou
机构：
[1] Universität Augsburg,Institut für Mathematik
[2] University of Cyprus,Department of Mathematics and Statistics
来源：
manuscripta mathematica | 2005年 / 116卷
关键词：
Riemannian Manifold; Number Theory; Algebraic Geometry; Homogeneous Space; Topological Group;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study homogeneous Riemannian manifolds all of whose geodesics can be mapped by some isometry into a fixed homogeneous, connected, totally geodesic submanifold, called section. We show that these spaces are locally symmetric if the section is two-dimensional and give non-symmetric counterexamples with higher-dimensional sections.
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页码：115 / 123
页数：8
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