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On a classification of warped product manifolds with gradient Yamabe solitons
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In this paper, we study gradient Yamabe solitons in the warped product manifolds and classify the warped product manifolds with gradient Yamabe solitons. Moreover we investigate the admitness of gradient Yamabe solitons and geometric structures for some model spaces.
Abstract
In this paper, we study gradient Yamabe solitons in the warped product manifolds and classify the warped product manifolds with gradient Yamabe solitons. Moreover we investigate the admitness of gradient Yamabe solitons and geometric structures for some model spaces.
참고문헌 (5)
- H. -D. Cao, "On the structure of gradient Yamabe solitons", Math. Res. Lett, 19(4), pp.767~774 (2012)[DOI]
- P. Daskalopoulos, "The classification of locally conformally at Yamabe solitons", Adv. Math., 240, pp.346~369 (2013)[DOI]
- R. Hamilton, "Lectures on geometric ows", ~ (1989)
- K. Kenmotsu, "A class of almost contact Riemannian manifolds", T^ohoku Math. J. (2), 24, pp.93~103 (1972)[DOI]
- S. -Y. Hsu, "A note on compact gradient Yamabe solitons", J. Math. Anal. Appl., 388(2), pp.725~726 (2012)[DOI]
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