数学物理学报 ›› 2011, Vol. 31 ›› Issue (3): 837-844.

• 论文 • 上一篇    下一篇

关于一类Finsler流形的共形变换

张剑锋   

  1. 丽水学院数学系 浙江丽水 323000
  • 收稿日期:2009-09-18 修回日期:2010-11-24 出版日期:2011-06-25 发布日期:2011-06-25
  • 基金资助:

    浙江省自然科学基金(Y6100218)和浙江省重点扶持学科资金(200501)资助

A Class of Conformal Projectively Flat Finsler Manifolds

 ZHANG Jian-Feng   

  1. Department of Mathematics, Lishui University, Zhejiang Lishui 323000
  • Received:2009-09-18 Revised:2010-11-24 Online:2011-06-25 Published:2011-06-25
  • Supported by:

    浙江省自然科学基金(Y6100218)和浙江省重点扶持学科资金(200501)资助

摘要:

该文研究了一类由Rimannian度量α1 -形式β所定义的特殊Finsler度量的射影平坦问题. 在适当的条件下, 作者可通过共形变换将一类非射影平坦的Finsler流形变为射影平坦的Finsler流形.

关键词: Finsler流形, 射影平坦, 共形变换

Abstract:

In this paper, we study a class of Finsler manifolds defined by a Riemannian metric and a 1-form. we can get a projectively flat metric from a nonprojectively flat metric only through conformal transformation for some 1-forms and functions φ(s).

Key words: Finsler manifolds, Projectively flat, Conformal transformation

中图分类号: 

  • 53C60