Journal of University of Science and Technology of China ›› 2017, Vol. 47 ›› Issue (6): 459-464.DOI: 10.3969/j.issn.0253-2778.2017.06.002

• Original Paper • Previous Articles     Next Articles

A class of projectively flat and dually flat Finsler metrics

HE Chao, LI Ying, SONG Weidong   

  1. School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China
  • Received:2016-03-10 Revised:2016-12-04 Online:2017-06-30 Published:2017-06-30
  • Contact: SONG Weidong
  • About author:HE Chao, male, born in 1992, master. Research field: Differential geometry. E-mail: begondjames@163.com
  • Supported by:
    Supported by the National Natural Science Foundation of China (11371032).

Abstract: Finsler geometry is just Riemannian geometry without quadratic restriction, and the projectively flat and dually flat Finsler metrics are very important in Finsler geometry. Here a class of 3-parameter of Finsler metrics were studied, and the necessary and sufficient conditions for the Finsler metrics to be projectively flat and dually flat were obtained.

Key words: Finsler metrics, spherically symmetric, projectively flat, dually flat

CLC Number: