Compact surfaces of constant Gaussian curvature in Randers manifolds

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• 作者：Ningwei Cui ^{ningweicui@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：53B40 ; 53C60
• 刊名：Journal of Geometry and Physics
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：106
• 期：Complete
• 页码：122-129
• 全文大小：387 K

文摘

The flag curvature of a Finsler surface is called the Gaussian curvature in Finsler geometry. In this paper, we characterize the surfaces of constant Gaussian curvature (CGC) in the Randers 3-manifold. Then we give a classification of the orientable closed CGC surfaces in two Randers space forms, which are the non-Euclidean Minkowski–Randers 3-space (K=0$K=0$) and the Bao–Shen sphere (K=1$K=1$).