Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (1): 139-144.

• Articles • Previous Articles    

THE CHARACTERISTTHE CHARACTERISTICS OF HYPERSPHERES IN MINKOWSKI SPACE

 CHENG Xin-Yue, YANG Wen-Mao   

  1. Chongqing Institute of Technology, Chongqing 400050, China Yang-en University, Quanzhou 362014, China
  • Online:2003-01-06 Published:2003-01-06
  • Supported by:

    Supported by the National Natural Science Foundation of China(10171117)and the Science Foundation of Chongqing Education Committee.

Abstract:

Y -Riemannian metric gY is an important tool in Finsler geometry, where Y is a smooth non-zero vector field on Finsler manifold. If Y is a geodesic field, it is very effective to study flag curvature using Y -Riemann metric. In this paper, using a special Y -Riemann metric ( that is, so called -Riemann metric ), we study hyperspheres in a Minkowski space and give some characteristics of hyperspheres in a Minkowski space.

Key words: Finsler metric, Minkowski norm, Chern connection, the Y-Riemannian met-ric

CLC Number: 

  • 53C60
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