On Einstein Finsler metrics

Semail Ülgen; Esra Sengelen Sevim; Irma Hacinliyan

doi:10.1142/S0129167X21500634

On Einstein Finsler metrics

Semail Ülgen^*
, Esra Sengelen Sevim
, Irma Hacinliyan

^*Corresponding author for this work

Department of Mathematics Engineering

Antalya Bilim University
Istanbul Bilgi University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	2150063
Journal	International Journal of Mathematics
Volume	32
Issue number	9
DOIs	https://doi.org/10.1142/S0129167X21500634
Publication status	Published - Aug 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Funding

Authors Semail Ülgen, Esra Sengelen Sevim are both supported in part by the Scientific and Technological Research Council of Turkey (TUBITAK), Grant (No. 113F311).

Funders	Funder number
TUBITAK	113F311
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Keywords

(α, β) -metrics
Einstein metrics
Ricci curvature
Ricci-flat

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10.1142/S0129167X21500634

Cite this

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title = "On Einstein Finsler metrics",

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.",

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AU - Sevim, Esra Sengelen

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AB - 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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KW - Einstein metrics

KW - Ricci curvature

KW - Ricci-flat

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M3 - Article

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VL - 32

JO - International Journal of Mathematics

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On Einstein Finsler metrics

Abstract

Bibliographical note

Funding

Keywords

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