Homogeneous Structures on \mathbbS²×ℝ and ℍ²×ℝ

2023/07/11 by Yu Ohno, Ohno, Yu
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2307.05030

openalex publication_date 2023/07/11 · openalex created_date 2023/07/13 · openalex updated_date 2026/07/28

Abstract

We determine all the homogeneous structure tensors on \mathbbS²×ℝ and ℍ²×ℝ. This work together with previous articles yields a complete classification of all the homogeneous structure tensors on three-dimensional homogeneous Riemannian manifolds.

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