Some Ricci-Flat $(α,β)$-Metrics

Esra Sengelen Sevim; Semail Ulgen

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arXiv · 1505.04181

Some Ricci-Flat $(α,β)$-Metrics

Esra Sengelen Sevim·Semail Ulgen

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Abstract

In this paper, we study a special class of Finsler metrics, $(α,β)$-metrics, defined by $F = αϕ(\fracβα)$, where $α$ is a Riemannian metric and $β$ is a 1-form. We find an equation that characterizes Ricci-flat $(α,β)$-metrics under the condition that the length of $β$ with respect to $α$ is constant.

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BibTeX RIS

Esra Sengelen Sevim, Semail Ulgen. 2015-04-13. Some Ricci-Flat $(α,β)$-Metrics. https://arxiv.org/abs/1505.04181

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