Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (4): 551-557.

• Articles • Previous Articles     Next Articles

ON THE CHERN CONNECTION OF FINSLER SUBMANIFOLDS

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

  1. 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

Abstract:

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.

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

CLC Number: 

  • 53C60
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