On a class of projectively flat Finsler metrics

详细信息    查看全文

• 作者：Qiaoling Xia ^{xiaqiaoling@zju.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：53B40 ; 53C60
• 刊名：Differential Geometry and its Applications
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：44
• 期：Complete
• 页码：1-16
• 全文大小：398 K

文摘

In this paper, we classify locally projectively flat general (α,β)$(\alpha ,\beta )$-metrics $F=\alpha \varphi (b^2,\frac{\beta }{\alpha })$ on an n(≥3)$n(\ge 3)$-dimensional manifold if α   is of constant sectional curvature and ϕ₁≠0${\varphi }_1\ne 0$. Furthermore, we find equations to characterize this class of metrics with constant flag curvature and determine their local structures.