ON FINSLER METRICS OF CONSTANT S-CURVATURE

ON FINSLER METRICS OF CONSTANT S-CURVATURE

In this paper, we study Finsler metrics of constant S-curva- ture. 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 (α, β)-metrics with arbitrary...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2013, 50(2), , pp.639-648
Hauptverfasser: Mo, Xiaohuan, Wang, Xiaoyang
Format: Artikel
Sprache:eng
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수학
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Zusammenfassung:In this paper, we study Finsler metrics of constant S-curva- ture. 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 (α, β)-metrics with arbitrary constant S-curvature in each dimension which is not Randers type by extending Li-Shen’ construction. KCI Citation Count: 1
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.2013.50.2.639