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http://dx.doi.org/10.11568/kjm.2016.24.4.627

ON A CLASSIFICATION OF WARPED PRODUCT SPACES WITH GRADIENT RICCI SOLITONS  

Lee, Sang Deok (Department of Mathematics Dankook University)
Kim, Byung Hak (Department of Applied Mathematics Kyung Hee University)
Choi, Jin Hyuk (Humanitas college Kyung Hee University)
Publication Information
Korean Journal of Mathematics / v.24, no.4, 2016 , pp. 627-636 More about this Journal
Abstract
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.
Keywords
Ricci curvature; warped product space; Ricci soliton;
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Times Cited By KSCI : 1  (Citation Analysis)
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