Rigidity theorem for integral pinched shrinking Ricci solitons
نویسندگان
چکیده
منابع مشابه
Degeneration of Shrinking Ricci Solitons
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.
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In this paper we derive a precise estimate on the growth of potential functions of complete noncompact shrinking solitons. Based on this, we prove that a complete noncompact gradient shrinking Ricci soliton has at most Euclidean volume growth. The latter result can be viewed as an analog of the well-known theorem of Bishop that a complete noncompact Riemannian manifold with nonnegative Ricci cu...
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2017
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-017-1042-1