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

2007/04/12 by Remm, Elisabeth, Goze, Michel
#17Bxx #53C20 #53C30 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.0704.1541

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 Z₂²-symmetric space. We describe all the non degenerated metrics and classify the Riemannian and Lorentzian ones.

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