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- W2982893188 abstract "Let $(M,g,f)$ be a 3-dimensional complete steady gradient Ricci soliton.Assume that $M$ is rectifiable, that is, the potential function can be writtenas $f=f(r)$, where $r$ is a distance function. Then, we prove that $M$ isisometric to (1) a quotient of $mathbb{R}^3$, (2) a quotient of$Sigma^2times mathbb{R}$, where $Sigma^2$ is the Hamilton's cigar soliton,or (3) the Bryant soliton. In particular, we show that any 3-dimensionalcomplete rectifiable steady gradient Ricci soliton with positive sectionalcurvature is isometric to the Bryant soliton." @default.
- W2982893188 created "2019-11-22" @default.
- W2982893188 creator A5037759083 @default.
- W2982893188 date "2019-11-10" @default.
- W2982893188 modified "2023-10-17" @default.
- W2982893188 title "Classification of 3-dimensional complete rectifiable steady gradient Ricci solitons" @default.
- W2982893188 hasPublicationYear "2019" @default.
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