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

数学学院

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	639-648
页数	10
期刊	Bulletin of the Korean Mathematical Society
卷	50
期	2
DOI	https://doi.org/10.4134/BKMS.2013.50.2.639
出版状态	已出版 - 2013

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AB - 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.

KW - (α, β)-metric

KW - Existence

KW - Finsler metric

KW - H-curvature

KW - S-curvature

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JO - Bulletin of the Korean Mathematical Society

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ER -

On finsler metrics of constant S-curvature

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