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Four-dimentional Gradient Shrinking Solitons with Positive Isotropic Curvature (1603.05264v1)
Published 16 Mar 2016 in math.DG
Abstract: We show that a four-dimensional complete gradient shrinking Ricci soliton with positive isotropic curvature is either a quotient of S4 or a quotient of S3 cross R. This gives a clean classification result removing the earlier additional assumptions in [13] by Wallach and the second author.
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