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20 April 2024

» arxiv » arxiv.0704.1541

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Riemannian and Lorentzian structures on the non symmetric space SO(2m)/Sp(m)
Elisabeth Remm ; Michel Goze ;
Date:	12 Apr 2007
Subject:	Differential Geometry (math.DG); Rings and Algebras (math.RA)
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.
Source:	arXiv, arxiv.0704.1541
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