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On Einstein Finsler metrics

Semail Ülgen

Department of Industrial Engineering, Antalya Bilim University, Antalya, Turkey

E-mail Address: sulgen@antalya.edu.tr

Corresponding author.

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Esra Sengelen Sevim

Department of Mathematics, İstanbul Bilgi University, Istanbul, Turkey

E-mail Address: esra.sengelen@bilgi.edu.tr

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, and

İrma Hacinliyan

Department of Mathematics, İstanbul Technical University, Istanbul, Turkey

E-mail Address: hacinliy@itu.edu.tr

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https://doi.org/10.1142/S0129167X21500634Cited by:0 (Source: Crossref)

Abstract

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.

Communicated by Lei Ni

Keywords:

AMSC: 53B40, 53C60

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