Articles

ON A CLASS OF DOUGLAS FINSLER METRICS

  • Hongmei ZHU
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  • College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

Received date: 2016-12-28

  Revised date: 2017-07-26

  Online 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).

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.

Cite this article

Hongmei ZHU . ON A CLASS OF DOUGLAS FINSLER METRICS[J]. Acta mathematica scientia, Series B, 2018 , 38(2) : 695 -708 . DOI: 10.1016/S0252-9602(18)30775-6

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