Geodesic orbit metrics on homogeneous spaces constructed by strongly isotropy irreducible spaces

2020/12/13 by Huibin Chen, Chen, Huibin, Zhiqi Chen +3 · 1 citation
Mathematics · Physics and Astronomy · #53C25 #53C30 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2012.07015

openalex publication_date 2020/12/13 · openalex created_date 2020/12/21 · openalex updated_date 2026/07/28

Abstract

In this paper, we focus on homogeneous spaces which are constructed from two strongly isotropy irreducible spaces, and prove that any geodesic orbit metric on these spaces is naturally reductive.

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• First Laplace eigenvalue of strongly isotropy irreducible spaces

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