Solvable Pseudo-Riemannian Symmetric Spaces

Thomas Neukirchner

Solvable Pseudo-Riemannian Symmetric Spaces

Differential Geometry 2007-05-23 v1

Authors: Thomas Neukirchner

Abstract

We present an approach to solvable pseudo-Riemannian symmetric spaces based on papers of M.Cahen, M.Parker and N.Wallach. Thereby we reproduce the classification of solvable symmetric triples of Lorentzian signature $(1,n-1)$ and complete the case of signature $(2,n-2)$ . Moreover we discuss the topology of non-simply-connected symmetric spaces.

Keywords

lorentzian geometry topological spaces holonomy

Cite

@article{arxiv.math/0301326,
  title  = {Solvable Pseudo-Riemannian Symmetric Spaces},
  author = {Thomas Neukirchner},
  journal= {arXiv preprint arXiv:math/0301326},
  year   = {2007}
}

Comments

58 pages, 1 figure

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