Gradient Shrinking Solitons with Vanishing Weyl Tensor

Mathematics – Differential Geometry

Scientific paper

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10 pages

Scientific paper

In this paper, we will give a local version of the Hamilton-Ivey type
pinching estimate of the gradient shrinking soliton with vanishing Weyl tensor,
and then give a complete classification on gradient shrinking solitons with
vanishing Weyl tensor.

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