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arXiv · 1409.2587

The spherically symmetric Finsler metrics with isotropic S-curvature

Linfeng Zhou
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Abstract

In this paper, we investigate the spherically symmetric Finsler metrics with isotropic S-curvature and obtain a characterized equation. As an application, we prove that these metrics with Douglas type must be Randers metrics or Berwald metrics. This result leads to two classification theorems.

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Linfeng Zhou. 2014-09-09. The spherically symmetric Finsler metrics with isotropic S-curvature. https://arxiv.org/abs/1409.2587

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