GEODESIC

作品数:109被引量:59H指数:4
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相关领域:理学更多>>
相关作者:孙进平相桂芳詹曙王艳王卫星更多>>
相关机构:北京航空航天大学杭州创新研究院北京航空航天大学合肥工业大学伦敦大学学院更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金安徽省自然科学基金更多>>
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凸复Finsler流形上的Hopf-Rinow定理
《Chinese Quarterly Journal of Mathematics》2024年第1期31-45,共15页李鸿军 
Supported by the National Natural Science Foundation of China(Grant No.12001165).
Suppose(M,F) is a convex complex Finsler manifold. We prove that geodesics of(M,F) are locally minimizing. Hence, F introduces a distance function d such that(M,d) is a metric space from topology. Next, we prove the c...
关键词:GEODESIC Distance function Hopf-Rinow Theorem 
On Geodesic E-quasiconvex Functions and Geodesic E-epigraphs
《Chinese Quarterly Journal of Mathematics》2015年第2期184-189,共6页LIN Qing-ying HUANG Long-guang 
Supported by the National Natural Science Foundation of China(11074099)
The definition of geodesic E-quasiconvex functions is established in a geodesic metric space. Meanwhile, the relations of geodesic E-quasiconvex functions, geodesic Econvex functions and geodesic E-almostconvex functi...
关键词:geodesic metric space geodesic E-quasiconvex functions geodesic E-almostconvex functions geodesic E-convex functions geodesic E-epigraphs 
The Pinching Theorem of Global Umbilic Submanifolds in a Riemannian Manifold with Quasi Constant Curvature
《Chinese Quarterly Journal of Mathematics》2006年第3期342-350,共9页WANG Lin-feng 
Supported by the Directing Research Subject of Jiangsu Education Bureau(03103146)
We study the global umbilic submanifolds with parallel mean curvature vector fields in a Riemannian manifold with quasi constant curvature and get a local pinching theorem about the length of the second fundamental form.
关键词:constant curvature parallel mean curvature vector fields global umbilic points globally geodesic submanifolds 
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