Isometry groups of closed Lorentz 4-manifolds are Jordan

2019/01/14 by Riera, Ignasi Mundet i
#53C50 #54H15 #57S17 #Differential Geometry (math.DG) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1901.04257

Abstract

We prove that for any closed Lorentz 4-manifold (M,g) the isometry group Isom(M,g) is Jordan. Namely, there exists a constant C (depending on M and g) such that any finite subgroup Γ≤ Isom(M,g) has an abelian subgroup A≤Γ satisfying [Γ:A]≤ C.

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