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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The canonical expanding soliton and Harnack inequalities for Ricci flow
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by Esther Cabezas-Rivas and Peter M. Topping PDF
Trans. Amer. Math. Soc. 364 (2012), 3001-3021

Abstract:

We introduce the notion of Canonical Expanding Ricci Soliton, and use it to derive new Harnack inequalities for Ricci flow. This viewpoint also gives geometric insight into the existing Harnack inequalities of Hamilton and Brendle.
References
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Additional Information
  • Esther Cabezas-Rivas
  • Affiliation: Mathematisches Institut, Fachbereich Mathematik und Informatik der Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany
  • Peter M. Topping
  • Affiliation: Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom
  • MR Author ID: 624162
  • ORCID: 0000-0002-7346-7643
  • Received by editor(s): February 26, 2010
  • Received by editor(s) in revised form: June 4, 2010
  • Published electronically: February 13, 2012
  • © Copyright 2012 by the authors
  • Journal: Trans. Amer. Math. Soc. 364 (2012), 3001-3021
  • MSC (2010): Primary 53C44
  • DOI: https://doi.org/10.1090/S0002-9947-2012-05391-8
  • MathSciNet review: 2888237