数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (2): 695-708.doi: 10.1016/S0252-9602(18)30775-6

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ON A CLASS OF DOUGLAS FINSLER METRICS

朱红梅   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • 收稿日期:2016-12-28 修回日期:2017-07-26 出版日期:2018-04-25 发布日期:2018-04-25
  • 作者简介:Hongmei ZHU,E-mail:zhm403@163.com
  • 基金资助:

    The author is supported by the National Natural Science Foundation of China (11626091), Youth Science Fund of Henan Normal University (2015QK01), and a doctoral scientific research foundation of Henan Normal University (5101019170130).

ON A CLASS OF DOUGLAS FINSLER METRICS

Hongmei ZHU   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • Received:2016-12-28 Revised:2017-07-26 Online:2018-04-25 Published:2018-04-25
  • Supported by:

    The author is supported by the National Natural Science Foundation of China (11626091), Youth Science Fund of Henan Normal University (2015QK01), and a doctoral scientific research foundation of Henan Normal University (5101019170130).

摘要:

In this article, we study a class of Finsler metrics called general (α, β)-metrics, which are defined by a Riemannian metric α and a 1-form β. We determine all of Douglas general (α, β)-metrics on a manifold of dimension n > 2.

关键词: Finsler metric, general α, β-metric, Douglas metric

Abstract:

In this article, we study a class of Finsler metrics called general (α, β)-metrics, which are defined by a Riemannian metric α and a 1-form β. We determine all of Douglas general (α, β)-metrics on a manifold of dimension n > 2.

Key words: Finsler metric, general α, β-metric, Douglas metric