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Ricci solitons on compact Kähler surfaces


Author: Thomas Ivey
Journal: Proc. Amer. Math. Soc. 125 (1997), 1203-1208
MSC (1991): Primary 53C20, 53C21
DOI: https://doi.org/10.1090/S0002-9939-97-03624-1
MathSciNet review: 1353388
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Abstract: We classify the Kähler metrics on compact manifolds of complex dimension two that are solitons for the constant-volume Ricci flow, assuming that the curvature is slightly more positive than that of the single known example of a soliton in this dimension.


References [Enhancements On Off] (What's this?)

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Additional Information

Thomas Ivey
Affiliation: Department of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106-7058
Email: txi4@po.cwru.edu

DOI: https://doi.org/10.1090/S0002-9939-97-03624-1
Keywords: Ricci flow, solitons, K\"ahler surfaces
Received by editor(s): July 26, 1995
Received by editor(s) in revised form: October 24, 1995
Communicated by: Peter Li
Article copyright: © Copyright 1997 American Mathematical Society

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