Uniqueness of compact ancient solutions to the higher-dimensional Ricci flow
نویسندگان
چکیده
Abstract In dimensions n ≥ 4 {n\geq 4} , an ancient κ-solution is a nonflat, complete, solution of the Ricci flow that uniformly PIC and weakly PIC2; has bounded curvature; κ-noncollapsed. this paper, we study classification κ-solutions to n -dimensional on S {S^{n}} extending result in [S. Brendle, P. Daskalopoulos N. Sesum, Uniqueness compact solutions three-dimensional flow, Invent. Math. 226 2021, 2, 579–651] higher dimensions. We prove such either isometric family shrinking round spheres, or Type II constructed by Perelman.
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ژورنال
عنوان ژورنال: Crelle's Journal
سال: 2022
ISSN: ['1435-5345', '0075-4102']
DOI: https://doi.org/10.1515/crelle-2022-0075