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Complete gradient shrinking Ricci solitons with pinched curvature
Authors:Giovanni Catino
Institution:1. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milan, Italy
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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