Perelman-type no breather theorem for noncompact Ricci flows
نویسندگان
چکیده
In this paper, we first show that a complete shrinking breather with Ricci curvature bounded from below must be gradient soliton. This result has several applications. First, can classify all $3$-dimensional breathers. Second, every soliton -- generalization of Naber's result. Furthermore, develop general condition for the existence asymptotic soliton, which hopefully will contribute to study ancient solutions.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2021
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8436