On the curvature estimates for the conformal Ricci flow

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Article number124965
Journal / PublicationJournal of Mathematical Analysis and Applications
Volume498
Issue number2
Online published15 Jan 2021
Publication statusPublished - 15 Jun 2021

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85099619483&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(c7685e89-8d93-421b-8012-293a8a470901).html

Abstract

In this paper, we study the curvature estimates of the conformal Ricci flow on Riemannian manifolds. We show that the norm of the Weyl tensors of any smooth solution to the conformal Ricci flow can be explicitly estimated in terms of its initial values on a given ball, a local uniform bound on the Ricci tensors, and the potential function. On the compact manifold, the curvature operator remains bounded so long as the Ricci curvature is bounded.

Research Area(s)

  • Conformal Ricci flow, Curvature estimates

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Publication fingerprints text

100
Ricci Flow Mathematics
33
Initial Value Mathematics
33
Potential Function Mathematics
33
Riemannian Manifold... Mathematics
33
Compact Manifold Mathematics
33
Curvature Operator Mathematics
33
Weyl Tensor Mathematics
33
Ricci Curvature Mathematics
33
Ricci Tensor Mathematics
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Citation Format(s)

[ RIS ] [ BibTeX ]
On the curvature estimates for the conformal Ricci flow. / Liang, Qiantong; Zhu, Anqiang.
In: Journal of Mathematical Analysis and Applications, Vol. 498, No. 2, 124965, 15.06.2021.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review