arXiv:2108.04761 [math.DG]AbstractReferencesReviewsResources
Hessian estimates for the conjugate heat equation coupled with the Ricci flow
Published 2021-08-10Version 1
In this note we obtain local and global Hessian estimates for the conjugate heat equation coupled with the Ricci flow. As an application, we extend Perelman's monotonicity formula of the $W$-entropy to the noncompact situation.
Related articles: Most relevant | Search more
arXiv:1006.0540 [math.DG] (Published 2010-06-03)
The Conjugate Heat Equation and Ancient Solutions of the Ricci Flow
A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow
arXiv:1008.0711 [math.DG] (Published 2010-08-04)
Ricci expanders and type III Ricci flow