@article {
author = {Huang, Libing and Su, Haibin},
title = {Flag curvatures of the unit sphere in a Minkowski-Randers space},
journal = {AUT Journal of Mathematics and Computing},
volume = {2},
number = {2},
pages = {275-282},
year = {2021},
publisher = {Amirkabir University of Technology},
issn = {2783-2449},
eissn = {2783-2287},
doi = {10.22060/ajmc.2021.20237.1061},
abstract = {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 $|\hat{\beta}|_{\hat{\alpha}}< (5-\sqrt{17})/2 \approx 0.43845$, thus answering a problem proposed by Prof. Zhongmin Shen. Moreover, we prove that the flag curvature of $\Sigma$ has a universal lower bound $-4$.},
keywords = {flag curvature,Randers Metric,Riemannian metric},
url = {https://ajmc.aut.ac.ir/article_4455.html},
eprint = {https://ajmc.aut.ac.ir/article_4455_c2782602098697570d821d54494bfa77.pdf}
}