On a Class of Two-Dimensional Einstein Finsler Metrics of Vanishing S-Curvature

2014/06/11 by Guojun Yang, Yang, Guojun
Physics and Astronomy · #53B40 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1406.2929

openalex publication_date 2014/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An (α,β)-metric is defined by a Riemannian metric α and 1-form β. In this paper, we study a known class of two-dimensional (α,β)-metrics of vanishing S-curvature. We determine the local structure of those metrics and show that those metrics are Einsteinian (equivalently, isotropic flag curvature) but generally are not Ricci-flat.

Citations

• On A Class of Finsler Metrics of Einstein-Reversibility
• A Note on a Class of Finsler Metrics of Isotropic S-Curvature

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• A Note on a Class of Finsler Metrics of Isotropic S-Curvature
• On A Class of Finsler Metrics of Einstein-Reversibility
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