The Homogeneous Geometries of Real Hyperbolic Space

被引：0

作者：

Marco Castrillón López

Pedro Martínez Gadea

Andrew Swann

机构：

[1] Universidad Complutense de Madrid,ICMAT (CSIC

[2] Facultad de Ciencias Matemáticas,UAM

[3] Instituto de Física Fundamenta,UC3M

[4] lCSIC,UCM), Departamento de Geometría y Topología

[5] Aarhus University,Department of Mathematics

[6] University of Southern Denmark,CP3

来源：

Mediterranean Journal of Mathematics | 2013年 / 10卷

关键词：

Primary 53C30; Secondary 57S25; 58H15; Real hyperbolic space; homogeneous structure; holonomy;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We describe the holonomy algebras of all canonical connections of homogeneous structures on real hyperbolic spaces in all dimensions. The structural results obtained then lead to a determination of the types, in the sense of Tricerri and Vanhecke, of the corresponding homogeneous tensors. We use our analysis to show that the moduli space of homogeneous structures on real hyperbolic space has two connected components.

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页码：1011 / 1022

页数：11

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