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ON WARPED PRODUCT SPACES WITH A CERTAIN RICCI CONDITION
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 Title & Authors
ON WARPED PRODUCT SPACES WITH A CERTAIN RICCI CONDITION
Kim, Byung Hak; Lee, Sang Deok; Choi, Jin Hyuk; Lee, Young Ok;
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 Abstract
In this paper, we obtain the criteria that the Riemannian manifold B is Einstein or a gradient Ricci soliton from the information of the second derivative of in the warped product space with gradient Ricci solitons. Moreover, we construct new examples of non-Einstein gradient Ricci soliton spaces with an Einstein or non-Einstein gradient Ricci soliton leaf using our main theorems. Finally we also get analogous criteria for the Lorentzian version.
 Keywords
Ricci curvature;Einstein metric;warped product space;
 Language
English
 Cited by
1time(s) in KSCD
1.
ON A CLASSIFICATION OF WARPED PRODUCT SPACES WITH GRADIENT RICCI SOLITONS,;;;

Korean Journal of Mathematics, 2016. vol.24. 4, pp.627-636 crossref(new window)
1time(s) in CrossRef
1.
Gradient Ricci Solitons with Structure of Warped Product, Results in Mathematics, 2017, 71, 3-4, 825  crossref(new windwow)
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