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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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The full holonomy group under the Ricci flow
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by Mary Cook and Brett Kotschwar PDF
Proc. Amer. Math. Soc. 148 (2020), 5313-5321 Request permission

Abstract:

We give a short, direct proof that the full holonomy group of a solution to the Ricci flow is invariant up to isomorphism using the invariance of the reduced holonomy under the flow.
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Additional Information
  • Mary Cook
  • Affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287
  • Email: mkcook@asu.edu
  • Brett Kotschwar
  • Affiliation: School of Mathematical and Statistical Sciences, Arizona State University, Tempe, Arizona 85287
  • MR Author ID: 814008
  • Email: kotschwar@asu.edu
  • Received by editor(s): December 27, 2019
  • Received by editor(s) in revised form: April 24, 2020
  • Published electronically: August 11, 2020
  • Additional Notes: The second author was partially supported by Simons Foundation grant #359335.
  • Communicated by: Jia-Ping Wang
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 5313-5321
  • MSC (2020): Primary 53E20
  • DOI: https://doi.org/10.1090/proc/15156
  • MathSciNet review: 4163843