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

Guojun Yang

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arXiv · 1406.2929

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

Guojun Yang

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Abstract

An $(\alpha,\beta)$-metric is defined by a Riemannian metric $\alpha$ and $1$-form $\beta$. In this paper, we study a known class of two-dimensional $(\alpha,\beta)$-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.

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BibTeX RIS

Guojun Yang. 2014-06-11. On a Class of Two-Dimensional Einstein Finsler Metrics of Vanishing S-Curvature. https://arxiv.org/abs/1406.2929

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