On Einstein Finsler metrics

Semail Ülgen*, Esra Sengelen Sevim, Irma Hacinliyan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Article number2150063
JournalInternational Journal of Mathematics
Volume32
Issue number9
DOIs
Publication statusPublished - Aug 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.

Keywords

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

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