on quasi-einstein finsler spaces
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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 solutions 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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Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 40
issue 4 2014
Keywords
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