Non-naturally reductive Einstein metrics on SO(n)

2017/01/13 by Huibin Chen, Chen, Huibin, Zhiqi Chen +3
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.1701.03806

arxiv created 2017/01/13 · arxiv updated 2017/01/17

Abstract

In this article, we prove that every compact simple Lie group SO(n) for n≥ 10 admits at least 2([(n-1)/(3)]-2) non-naturally reductive left-invariant Einstein metrics.

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