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arXiv:2108.04761 [math.DG]AbstractReferencesReviewsResources

Hessian estimates for the conjugate heat equation coupled with the Ricci flow

Hong Huang

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.

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