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On dually flat Kropina metrics

Guangzu Chen

School of Science, East China JiaoTong University, Nanchang 330013, P. R. China

E-mail Address: chenguangzu1@163.com

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and

Lihong Liu

School of Science, East China JiaoTong University, Nanchang 330013, P. R. China

E-mail Address: 304482707@qq.com

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https://doi.org/10.1142/S0129167X16500956Cited by:1 (Source: Crossref)

Abstract

Locally dually flat Finsler metrics arise from information geometry. In this paper, we study locally dually flat Kropina metrics and find some equations that characterize locally dually flat Kropina metrics and classify those with scalar flag curvature. Finally, we also classify dually flat Kropina metrics with isotropic $S$ $S$ -curvature.

Keywords:

AMSC: 53B40, 53C60

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