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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Ricci solitons on compact Kähler surfaces
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by Thomas Ivey
Proc. Amer. Math. Soc. 125 (1997), 1203-1208
DOI: https://doi.org/10.1090/S0002-9939-97-03624-1

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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Bibliographic Information
  • Thomas Ivey
  • Affiliation: Department of Mathematics, Case Western Reserve University, Cleveland, Ohio 44106-7058
  • MR Author ID: 333843
  • Email: txi4@po.cwru.edu
  • Received by editor(s): July 26, 1995
  • Received by editor(s) in revised form: October 24, 1995
  • Communicated by: Peter Li
  • © Copyright 1997 American Mathematical Society
  • 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