ON FINSLER METRICS OF CONSTANT S-CURVATURE

Title & Authors
ON FINSLER METRICS OF CONSTANT S-CURVATURE
Mo, Xiaohuan; Wang, Xiaoyang;

Abstract
In this paper, we study Finsler metrics of constant S-curvature. First we produce infinitely many Randers metrics with non-zero (constant) S-curvature which have vanishing H-curvature. They are counterexamples to Theorem 1.2 in [20]. Then we show that the existence of ($\small{{\alpha}}$, $\small{{\beta}}$)-metrics with arbitrary constant S-curvature in each dimension which is not Randers type by extending Li-Shen` construction.
Keywords
Finsler metric;S-curvature;($\small{{\alpha}}$, $\small{{\beta}}$)-metric;existence;H-curvature;
Language
English
Cited by
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