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

Elisabeth Remm; Michel Goze

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arXiv · 0704.1541

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

Elisabeth Remm·Michel Goze

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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.

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BibTeX RIS

Elisabeth Remm, Michel Goze. 2007-04-12. Riemannian and Lorentzian structures on the non symmetric space SO(2m)/Sp(m). https://arxiv.org/abs/0704.1541

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