On finsler metrics of constant S-curvature

Xiaohuan Mo; Xiaoyang Wang

doi:10.4134/BKMS.2013.50.2.639

On finsler metrics of constant S-curvature

Xiaohuan Mo, Xiaoyang Wang

School of Mathematics and Statistics

Peking University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 (α, β)-metrics with arbitrary constant S-curvature in each dimension which is not Randers type by extending Li-Shen' construction.

Original language	English
Pages (from-to)	639-648
Number of pages	10
Journal	Bulletin of the Korean Mathematical Society
Volume	50
Issue number	2
DOIs	https://doi.org/10.4134/BKMS.2013.50.2.639
Publication status	Published - 2013

Keywords

(α, β)-metric
Existence
Finsler metric
H-curvature
S-curvature

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10.4134/BKMS.2013.50.2.639

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Mo, X., & Wang, X. (2013). On finsler metrics of constant S-curvature. Bulletin of the Korean Mathematical Society, 50(2), 639-648. https://doi.org/10.4134/BKMS.2013.50.2.639

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On finsler metrics of constant S-curvature

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Keywords

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