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.

引用

页码：115 / 123

页数：8