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Abstract: We show that the only complete shrinking gradient Ricci solitons withvanishing Weyl tensor are quotients of the standard ones. This gives a newproof of the Hamilton-Ivey-Perel-man classification of 3-dimensional shrinkinggradient solitons. We also prove a classification for expanding gradient Riccisolitons with constant scalar curvature and suitably decaying Weyl tensor.



Author: Peter Petersen, William Wylie

Source: https://arxiv.org/







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