On a class of projectively flat Finsler metrics

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• 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 622451500114X&_mathId=si1.gif&_user=111111111&_pii=S092622451500114X&_rdoc=1&_issn=09262245&md5=7d8c9062a42d4ab098f104a4ba4225d4" title="Click to view the MathML source">(α,β)$(\alpha ,\beta )$-metrics 622451500114X&_mathId=si159.gif&_user=111111111&_pii=S092622451500114X&_rdoc=1&_issn=09262245&md5=c4b66b2421189b3dd22e190f9d256222">622451500114X-si159.gif">$F=\alpha \varphi (b^2,\frac{\beta }{\alpha })$ on an 622451500114X&_mathId=si160.gif&_user=111111111&_pii=S092622451500114X&_rdoc=1&_issn=09262245&md5=1b128c77f224eef1f2472027ac1a38ed" title="Click to view the MathML source">n(≥3)$n(\ge 3)$-dimensional manifold if α   is of constant sectional curvature and 622451500114X&_mathId=si167.gif&_user=111111111&_pii=S092622451500114X&_rdoc=1&_issn=09262245&md5=0e01095735c734a5fb0a91710259b337" title="Click to view the MathML source">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.