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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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On the weak Kähler-Ricci flow
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by X. X. Chen, G. Tian and Z. Zhang PDF
Trans. Amer. Math. Soc. 363 (2011), 2849-2863 Request permission

Abstract:

In this paper, we define and study the Kähler-Ricci flow with initial data not being smooth and discuss some natural applications.
References
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Additional Information
  • X. X. Chen
  • Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
  • MR Author ID: 632654
  • Email: xiu@math.wisc.edu
  • G. Tian
  • Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
  • MR Author ID: 220655
  • Email: tian@math.princeton.edu
  • Z. Zhang
  • Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
  • Address at time of publication: School of Mathematics and Statistics, University of Sydney, Carslaw Building, Sydney, NSW 2006, Australia
  • MR Author ID: 790125
  • ORCID: 0000-0002-4822-8536
  • Email: zhangou@umich.edu, zhangou@maths.usyd.edu.au
  • Received by editor(s): October 9, 2008
  • Published electronically: January 25, 2011
  • Additional Notes: The first author was supported in part by NSF funds.
    The second author was supported in part by NSF funds.
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 2849-2863
  • MSC (2000): Primary 53C25; Secondary 53C99, 58J99
  • DOI: https://doi.org/10.1090/S0002-9947-2011-05015-4
  • MathSciNet review: 2775789