Publication: On Einstein Finsler metrics
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Publisher
World Scientific Pub Co Pte Lt
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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.
Description
Journal or Series
International Journal of Mathematics
ISSN
0129-167X
ISBN
Rights
OPEN
Keywords
Einstein metrics, Local differential geometry of Finsler spaces and generalizations (areal metrics), Ricci eğriliği, Ricci-düz, (α, β)-metrikler, Ricci curvature, Einstein metrikleri, Global differential geometry of Finsler spaces and generalizations (areal metrics), (α, β)-metrics, \((\alpha,\beta)\)-metrics, Ricci-flat