Flag curvatures of the unit sphere in a Minkowski-Randers space

On a real vector space $V$, a Randers norm $\hat{F}$ is defined by $\hat{F}=\hat{\alpha}+\hat{\beta}$, where $\hat{\alpha}$ is a Euclidean norm and $\hat{\beta}$ is a covector. We show that the unit sphere $\Sigma$ in the Randers space $(V,\hat{F})$ has positive flag curvature, if and only if $|\hat...

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Bibliographic Details
Published in:AUT Journal of Mathematics and Computing
Main Authors: Libing Huang, Haibin Su
Format: Article
Language:English
Published: Amirkabir University of Technology 2021-09-01
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_4455_c2782602098697570d821d54494bfa77.pdf