A conclusive theorem on Finsler metrics of sectional flag curvature

If the flag curvature of a Finsler manifold reduces to sectional curvature, then locally either the Finsler metric is Riemannian, or the flag curvature is isotropic.

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Bibliographic Details
Published inarXiv.org
Main Authors Huang, Libing, Shen, Zhongmin
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 22.12.2018
Subjects
Curvature
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Summary:If the flag curvature of a Finsler manifold reduces to sectional curvature, then locally either the Finsler metric is Riemannian, or the flag curvature is isotropic.
ISSN:2331-8422