Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
Published electronically: April 19, 2013
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 53C44

Retrieve articles in all journals with MSC (2010): 53C44


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: http://dx.doi.org/10.1090/S0002-9939-2013-12176-3
PII: S 0002-9939(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.