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The linear trace Harnack quadratic on a steady gradient Ricci soliton satisfies the heat equation


Authors: Bennett Chow and Peng Lu
Journal: Proc. Amer. Math. Soc. 141 (2013), 2855-2857
MSC (2010): Primary 53C44
DOI: https://doi.org/10.1090/S0002-9939-2013-12176-3
Published electronically: April 19, 2013
MathSciNet review: 3056575
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Abstract: We show that on steady and shrinking gradient Ricci solitons, expressions involving the linear trace Harnack quadratic satisfy the heat equation. We also interpolate between Li-Yau-type calculations of Cao-Hamilton and Perelman.


References [Enhancements On Off] (What's this?)

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Additional Information

Bennett Chow
Affiliation: Department of Mathematics, University of California San Diego, La Jolla, California 92093

Peng Lu
Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403

DOI: https://doi.org/10.1090/S0002-9939-2013-12176-3
Received by editor(s): September 13, 2011
Published electronically: April 19, 2013
Communicated by: Michael Wolf
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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