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ANALYTIC AND GEOMETRIC PROPERTIES OF GENERIC RICCI SOLITONS.
- Source :
- Transactions of the American Mathematical Society; Nov2016, Vol. 368 Issue 11, p7533-7549, 17p
- Publication Year :
- 2016
-
Abstract
- 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 S³, RS² or R³ 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 368
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 118197286
- Full Text :
- https://doi.org/10.1090/tran/6864