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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Ricci solitons on compact Kähler surfaces

Author(s): Thomas Ivey
Journal: Proc. Amer. Math. Soc. 125 (1997), 1203-1208.
MSC (1991): Primary 53C20, 53C21
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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.


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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: 10.1090/S0002-9939-97-03624-1
PII: S 0002-9939(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
Copyright of article: Copyright 1997, American Mathematical Society


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