On the Improved No-Local-Collapsing Theorem of Ricci Flow

Wangjian Jian

doi:10.1007/s42543-022-00050-4

Peking Mathematical Journal ›› 2022, Vol. 6 ›› Issue (2) : 459 -468. DOI: 10.1007/s42543-022-00050-4

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On the Improved No-Local-Collapsing Theorem of Ricci Flow

Wangjian Jian ¹^,^a

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Abstract

In this note we derive an improved no-local-collapsing theorem of Ricci flow under the scalar curvature bound condition along the worldline of the basepoint. It is a refinement of Perelman’s no-local-collapsing theorem.

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Wangjian Jian. On the Improved No-Local-Collapsing Theorem of Ricci Flow. Peking Mathematical Journal, 2022, 6(2): 459-468 DOI:10.1007/s42543-022-00050-4