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In this paper, we study Ricci solitons, gradient Ricci solitons in the warped product spaces and gradient Yamabe solitons in the Riemannian product spaces. We obtain the necessary and sufficient conditions for the Riemannian product spaces to be Ricci solitons. Moreover we classify the warped product space which admit gradient Ricci solitons under some conditions of the potential function.
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참고문헌 (13)
참고문헌 신청
A.Besse / 1987 / Einstein manifolds / Springer-Verlag
H. D. Cao / 2008 / Geometry of Ricci solitons / Lecture note, Lehigh Univ
H. D. Cao / 2008 / Recent progress on Ricci solitons / arXiv:0908.2006v1
T. Chave / 1996 / On a class of compact and non-compact quasi-Einstein metrics and their renoirmalizability properties / Nuclear Phys B478:758~778
M. Eminenti / 2008 / Ricci solitons : The equation point of view / Menuscripta Math 127:345~367
H. D. Cao / 2008 / Geometry of Ricci solitons / Lecture note, Lehigh Univ
H. D. Cao / 2008 / Recent progress on Ricci solitons / arXiv:0908.2006v1
T. Chave / 1996 / On a class of compact and non-compact quasi-Einstein metrics and their renoirmalizability properties / Nuclear Phys B478:758~778
M. Eminenti / 2008 / Ricci solitons : The equation point of view / Menuscripta Math 127:345~367
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