Finsler几何中的无挠联络

数学季刊 ›› 1997, Vol. 12 ›› Issue (1): 98-103.

Finsler几何中的无挠联络

Department of Mathematics,Hunan Normal University,Changsha,410081

收稿日期:1996-07-12 出版日期:1997-03-30 发布日期:2024-12-16
基金资助:
The projcct supported by TYFM.

On Torsion-free Connections in Finsler Geometry

Department of Mathematics,Hunan Normal University,Changsha,410081

Received:1996-07-12 Online:1997-03-30 Published:2024-12-16
Supported by:
The projcct supported by TYFM.

摘要/Abstract

摘要： We introduce a fundamental connection in Finsler geometry,which is torsion-free and almost compatible with the induced metric. We give the difference between this connection and other known connections.

关键词: , Finsler structure, Cartan tensor, Cartan/Berwald/Chern/Shen connection, h-curva- ture, hv-curvature

Abstract: We introduce a fundamental connection in Finsler geometry,which is torsion-free and almost compatible with the induced metric. We give the difference between this connection and other known connections.

Key words: , Finsler structure, Cartan tensor, Cartan/Berwald/Chern/Shen connection, h-curva- ture, hv-curvature

中图分类号:

O186

郭瑞芝. Finsler几何中的无挠联络[J]. 数学季刊, 1997, 12(1): 98-103.

Guo Ruizhi. On Torsion-free Connections in Finsler Geometry[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(1): 98-103.

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