On the classification of gradient Ricci solitons
نویسندگان
چکیده
We show that the only shrinking gradient solitons with vanishing Weyl tensor are quotients of the standard ones Sn, S × R, and Rn. This gives a new proof of the Hamilton-Ivey-Perel’man classification of 3dimensional shrinking gradient solitons. We also show that gradient solitons with constant scalar curvature and suitably decaying Weyl tensor when noncompact are quotients of Hn, H × R, Rn, S × R, or Sn.
منابع مشابه
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