Riemannian and Lorentzian structures on the non symmetric space SO(2m)/Sp(m)

Elisabeth Remm; Michel Goze

Riemannian and Lorentzian structures on the non symmetric space SO(2m)/Sp(m)

Differential Geometry 2007-05-23 v1 Rings and Algebras

Authors: Elisabeth Remm , Michel Goze

Abstract

In this work, we are interested in a non symmetric homogeneous space, namely $SO(2m)/Sp(m)$ . We show that this space admits a structure of $Z_2^2$ -symmetric space. We describe all the non degenerated metrics and classify the Riemannian and Lorentzian ones.

Keywords

homogeneous space Riemannian metric Lorentzian metric symmetric space classification

Cite

@article{arxiv.0704.1541,
  title  = {Riemannian and Lorentzian structures on the non symmetric space SO(2m)/Sp(m)},
  author = {Elisabeth Remm and Michel Goze},
  journal= {arXiv preprint arXiv:0704.1541},
  year   = {2007}
}

Comments

10 pages. In French

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