科研之友
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摘要
The aim of this paper is to prove some classification results for generic shrinking Ricci solitons. In particular, we show that every three-dimensional generic shrinking Ricci soliton is given by quotients of either S-3, R x S-2 or R-3 under some very weak conditions on the vector field X generating the soliton structure. In doing so we introduce analytical tools that could be useful in other settings; for instance we prove that the Omori-Yau maximum principle holds for the X-Laplacian on every generic Ricci soliton without any assumption on X.
- 出版日期2016-11
