on quasi-einstein finsler spaces
نویسندگان
چکیده
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.
منابع مشابه
On quasi-Einstein Finsler spaces
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 met...
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عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 40
شماره 4 2014
کلمات کلیدی
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