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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the weak Kähler-Ricci flow


Authors: X. X. Chen, G. Tian and Z. Zhang
Journal: Trans. Amer. Math. Soc. 363 (2011), 2849-2863
MSC (2000): Primary 53C25; Secondary 53C99, 58J99
Published electronically: January 25, 2011
MathSciNet review: 2775789
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Abstract: In this paper, we define and study the Kähler-Ricci flow with initial data not being smooth and discuss some natural applications.


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Additional Information

X. X. Chen
Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Email: xiu@math.wisc.edu

G. Tian
Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544
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
Email: zhangou@umich.edu, zhangou@maths.usyd.edu.au

DOI: http://dx.doi.org/10.1090/S0002-9947-2011-05015-4
PII: S 0002-9947(2011)05015-4
Keywords: Differential geometry, geometric evolution equation
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.
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.