Degeneration of Shrinking Ricci Solitons
نویسنده
چکیده
Let (Y, d) be a Gromov-Hausdorff limit of closed shrinking Ricci solitons with uniformly upper bounded diameter and lower bounded volume. We prove that off a closed subset of codimension at least 2, Y is a smooth manifold satisfying a shrinking Ricci soliton equation.
منابع مشابه
Geometry of compact shrinking Ricci solitons
Einstein manifolds are trivial examples of gradient Ricci solitons with constant potential function and thus they are called trivial Ricci solitons. In this paper, we prove two characterizations of compact shrinking trivial Ricci solitons. M.S.C. 2010: 53C25.
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