On noncompact quasi Yamabe gradient solitons |
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| Authors: | Lin Feng Wang |
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| Affiliation: | School of Science, Nantong University, Nantong 226007, Jiangsu, China |
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| Abstract: | We study τ-quasi Yamabe gradient solitons on complete noncompact Riemannian manifolds. We prove several scalar curvature estimates under some conditions and get a non-local collapsing result based on the gradient estimate of the potential function. We also derive a decay theorem and a finite topological type result. |
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| Keywords: | Quasi Yamabe gradient soliton Gradient estimate Potential function Finite topological type |
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