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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On three-dimensional Type I $\kappa$-solutions to the Ricci flow
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by Yongjia Zhang PDF
Proc. Amer. Math. Soc. 146 (2018), 4899-4903 Request permission

Abstract:

$\kappa$-solutions are very important to the study of Ricci flow since they serve as the finite-time singularity models. With the help of his profound understanding of $\kappa$-solutions, Perelman [11] made the major breakthrough in Hamilton’s program. However, three-dimensional $\kappa$-solutions are not yet classified until this day. We prove a classification result assuming a Type I curvature bound.
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Additional Information
  • Yongjia Zhang
  • Affiliation: Department of Mathematics, University of California, San Diego, California 92093
  • MR Author ID: 1287775
  • Email: yoz020@ucsd.edu
  • Received by editor(s): October 19, 2017
  • Received by editor(s) in revised form: February 13, 2018
  • Published electronically: June 29, 2018
  • Communicated by: Guofang Wei
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 4899-4903
  • MSC (2010): Primary 53C44
  • DOI: https://doi.org/10.1090/proc/14133
  • MathSciNet review: 3856156