Dimension reduction under the Ricci flow on manifolds with nonnegative curvature operator
نویسندگان
چکیده
منابع مشابه
Dimension Reduction under the Ricci Flow on Manifolds with Nonnegative Curvature Operator
In this paper, we study the dilation limit of solutions to the Ricci flow on manifolds with nonnegative curvature operator. We first show that such a dilation limit must be a product of a compact ancient Type I solution of the Ricci flow with flat factors. Then we show under the Type I normalized Ricci flow, the compact factor has a subsequence converge to a Ricci soliton.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2007
ISSN: 0030-8730
DOI: 10.2140/pjm.2007.232.263