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 |
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Article number | 2150063 |
Journal | International Journal of Mathematics |
Volume | 32 |
Issue number | 9 |
DOIs | |
Publication status | Published - Aug 2021 |
Bibliographical note
Publisher Copyright:© 2021 World Scientific Publishing Company.
Keywords
- (α, β) -metrics
- Einstein metrics
- Ricci curvature
- Ricci-flat