On a class of two-dimensional Einstein Finsler metrics of vanishing S-curvature

Guojun Yang

doi:10.1016/j.difgeo.2018.03.003

On a class of two-dimensional Einstein Finsler metrics of vanishing S-curvature

Guojun Yang

Open Access

https://doi.org/10.1016/j.difgeo.2018.03.003

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Journal: Differential Geometry and its Applications	Publication Date: Apr 3, 2018
Citations: 1

Affiliation: Sichuan University

#Finsler Metrics #Isotropic S-curvature + Show 6 more

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Abstract

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

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