Semisimple weakly symmetric pseudo-Riemannian manifolds |
| |
Authors: | Zhiqi Chen Joseph A Wolf |
| |
Institution: | 1.School of Mathematical Sciences and LPMC,Nankai University,Tianjin,People’s Republic of China;2.Department of Mathematics,University of California,Berkeley,USA |
| |
Abstract: | We develop the classification of weakly symmetric pseudo-Riemannian manifolds G / H where G is a semisimple Lie group and H is a reductive subgroup. We derive the classification from the cases where G is compact, and then we discuss the (isotropy) representation of H on the tangent space of G / H and the signature of the invariant pseudo-Riemannian metric. As a consequence we obtain the classification of semisimple weakly symmetric manifolds of Lorentz signature \((n-1,1)\) and trans-Lorentzian signature \((n-2,2)\). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|