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ON FINSLER METRICS OF CONSTANT S-CURVATURE
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 Title & Authors
ON FINSLER METRICS OF CONSTANT S-CURVATURE
Mo, Xiaohuan; Wang, Xiaoyang;
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 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 (, )-metrics with arbitrary constant S-curvature in each dimension which is not Randers type by extending Li-Shen` construction.
 Keywords
Finsler metric;S-curvature;(, )-metric;existence;H-curvature;
 Language
English
 Cited by
 References
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