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数学进展 - 2018, Vol. 47(1): 109-116
研究论文
Randers空间中的常旗曲率旋转超曲面
Rotational Hypersurfaces with Constant Flag Curvature in a Randers Space

刘珊, 贺群
LIU Shan*, HE Qun

同济大学数学系, 上海, 200092
Department of Mathematics, Tongji University, Shanghai, 200092,P. R. China

出版日期: 2018-01-25
2018, Vol. 47(1): 109-116
DOI: 10.11845/sxjz.2016065b


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摘要 本文运用Zermelo导航技术研究了Randers空间中的等距浸入子流形, 并对一类特殊Randers空间中的常旗曲率旋转超曲面进行分类.
关键词 旋转超曲面常旗曲率Randers空间    
Abstract:In this paper, we discuss submanifolds isometrically immersed in a Randers manifold by the method of Zermelo's navigation. As an application, we give classifications of rotational hypersurfaces with constant flag curvature in a special Randers space.
Key wordsrotational hypersurface    constant flag curvature    Randers space
PACS:  O186.14  
通讯作者: E-mail: $*$ 1433495@tongji.edu.cn   
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[1] 宋卫东,朱静勇. 一类常旗曲率为1的射影平坦Finsler度量[J]. 数学进展, 2013, 42(5): 731-735.
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