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arXiv · 1406.0135

On quasi-Eienstein Finsler spaces

Behroz Bidabad·Mohamad Yarahmadi
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Abstract

The notion of quasi-Einstein metric in physics is equivalent to the notion of Ricci soliton in Riemannian spaces. Quasi-Einstein metrics serve also as solution to the Ricci flow equation. Here, the Riemannian metric is replaced by a Hessian matrix derived from a Finsler structure and a quasi-Einstein Finsler metric is defined. In compact case, it is proved that the quasi-Einstein metrics are solution to the Finslerian Ricci flow and conversely, certain form of solutions to the Finslerian Ricci flow are quasi-Einstein Finsler metrics.

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Behroz Bidabad, Mohamad Yarahmadi. 2014-06-01. On quasi-Eienstein Finsler spaces. https://arxiv.org/abs/1406.0135

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