ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS

数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (4): 551-557.

ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS

程新跃, 杨玮隆, 杨文茂

Chongqing Intitute of Technology, Chongqing 400050, China Wuyi University, Jianmen 529020, China Wuhan University, Wuhan 430072, China

收稿日期:1998-03-03 修回日期:1999-09-16 出版日期:2000-06-15 发布日期:2000-06-15

ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS

CHENG Xin-Ti, YANG Wei-Long, YANG Wen-Mao

Chongqing Intitute of Technology, Chongqing 400050, China Wuyi University, Jianmen 529020, China Wuhan University, Wuhan 430072, China

Received:1998-03-03 Revised:1999-09-16 Online:2000-06-15 Published:2000-06-15

摘要/Abstract

摘要：

This paper studies the induced Chern connection of submanifolds in a Finsler
manifold and gets the relations between the induced Chern connection and the Chern
connection of the induced Finsler metric. Then the authors point out a difference between
Finsler submanifolds and Riemann submanifolds.

关键词: Finsler metric, Chern connection, submanifold, cartan tensor

Abstract:

Key words: Finsler metric, Chern connection, submanifold, cartan tensor

中图分类号:

53C60

程新跃, 杨玮隆, 杨文茂. ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS[J]. 数学物理学报(英文版), 2000, 20(4): 551-557.

CHENG Xin-Ti, YANG Wei-Long, YANG Wen-Mao. ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS[J]. Acta mathematica scientia,Series B, 2000, 20(4): 551-557.

[1]	钟同德, 钟春平. BOCHNER TECHNIQUE IN REAL FINSLER MANIFOLDS[J]. 数学物理学报(英文版), 2003, 23(2): 165-.
[2]	程新跃, 杨文茂. THE CHARACTERISTTHE CHARACTERISTICS OF HYPERSPHERES IN MINKOWSKI SPACE[J]. 数学物理学报(英文版), 2003, 23(1): 139-144.

ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS

ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS

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