ON A CLASS OF DOUGLAS FINSLER METRICS  被引量:1

ON A CLASS OF DOUGLAS FINSLER METRICS

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作  者:朱红梅 

机构地区:[1]College of Mathematics and Information Science, Henan Normal University

出  处:《Acta Mathematica Scientia》2018年第2期695-708,共14页数学物理学报(B辑英文版)

基  金:supported by the National Natural Science Foundation of China(11626091);Youth Science Fund of Henan Normal University(2015QK01);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.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 

分 类 号:O186.1[理学—数学]

 

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