A new characterization of Finsler metrics with constant flag curvature 1

Xiaohuan Mo

Front. Math. China ›› 2011, Vol. 6 ›› Issue (2) : 309 -323.

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Front. Math. China ›› 2011, Vol. 6 ›› Issue (2) : 309 -323. DOI: 10.1007/s11464-011-0099-8
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RESEARCH ARTICLE

A new characterization of Finsler metrics with constant flag curvature 1

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Abstract

The purpose of this article is to derive an integral inequality of Ricci curvature with respect to Reeb field in a Finsler space and give a new geometric characterization of Finsler metrics with constant flag curvature 1.

Keywords

Finsler metric / constant flag curvature / Reeb vector field

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Xiaohuan Mo. A new characterization of Finsler metrics with constant flag curvature 1. Front. Math. China, 2011, 6(2): 309-323 DOI:10.1007/s11464-011-0099-8

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