数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (1): 139-144.

• 论文 • 上一篇    

THE CHARACTERISTTHE CHARACTERISTICS OF HYPERSPHERES IN MINKOWSKI SPACE

 程新跃, 杨文茂   

  1. Chongqing Institute of Technology, Chongqing 400050, China Yang-en University, Quanzhou 362014, China
  • 出版日期:2003-01-06 发布日期:2003-01-06
  • 基金资助:

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

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.

摘要:

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.

关键词: Finsler metric, Minkowski norm, Chern connection, the Y-Riemannian met-ric

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

中图分类号: 

  • 53C60