On Einstein Finsler metrics

被引：0
|
作者：
Ulgen, Semail [1 ]
Sevim, Esra Sengelen [2 ]
Hacinliyan, Irma [3 ]
机构：
[1] Antalya Bilim Univ, Dept Ind Engn, Antalya, Turkey
[2] Istanbul Bilgi Univ, Dept Math, Istanbul, Turkey
[3] Istanbul Tech Univ, Dept Math, Istanbul, Turkey
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2021年 / 32卷 / 09期
关键词：
(alpha; beta)-metrics; Einstein metrics; Ricci curvature; Ricci-flat;
D O I：
10.1142/S0129167X21500634
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.
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页数：12
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