On the conditions to extend ricci flow(III)

Xiuxiong Chen; Bing Wang

doi:10.1093/imrn/rns117

On the conditions to extend ricci flow(III)

Xiuxiong Chen
, Bing Wang

Mathematics

Stony Brook University

Stony Brook University

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

We simplify and improve the curvature estimates in [8] and [9]. Furthermore, we develop some new estimates of volume ratio for the Ricci flow with bounded scalar curvature. These estimates can be applied to study the singularities of the Ricci flow and convergence properties of the Kähler Ricci flow.

Original language	English
Pages (from-to)	2349-2367
Number of pages	19
Journal	International Mathematics Research Notices
Volume	2013
Issue number	10
DOIs	https://doi.org/10.1093/imrn/rns117
State	Published - Jan 1 2013

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abstract = "We simplify and improve the curvature estimates in [8] and [9]. Furthermore, we develop some new estimates of volume ratio for the Ricci flow with bounded scalar curvature. These estimates can be applied to study the singularities of the Ricci flow and convergence properties of the K{\"a}hler Ricci flow.",

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AB - We simplify and improve the curvature estimates in [8] and [9]. Furthermore, we develop some new estimates of volume ratio for the Ricci flow with bounded scalar curvature. These estimates can be applied to study the singularities of the Ricci flow and convergence properties of the Kähler Ricci flow.

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JO - International Mathematics Research Notices

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On the conditions to extend ricci flow(III)

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