Four-dimensional Gradient Shrinking Solitons with Positive Isotropic Curvature
نویسندگان
چکیده
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 × R. This gives a clean classification result removing the earlier additional assumptions in [14] by Wallach and the second author. The proof also gives a classification result on gradient shrinking Ricci solitons with nonnegative isotropic curvature.
منابع مشابه
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