Complete gradient shrinking Ricci solitons with pinched curvature |
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Authors: | Giovanni Catino |
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Institution: | 1. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milan, Italy
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Abstract: | We prove that any n-dimensional complete gradient shrinking Ricci soliton with pinched Weyl curvature is a finite quotient of ${\mathbb{R}^{n}, \mathbb{R}\times \mathbb{S}^{n-1}}$ or ${\mathbb{S}^{n}}$ . In particular, we do not need to assume the metric to be locally conformally flat. |
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