Remarks on the extension of the Ricci flow

TL;DR

This paper introduces two new conditions that improve existing theorems for extending the Ricci flow on compact manifolds over finite time periods.

Contribution

It provides novel conditions that extend the Ricci flow beyond previous limitations, enhancing the theoretical understanding of geometric evolution.

Findings

Two new extension conditions for Ricci flow

Improved theorems over existing results

Enhanced understanding of Ricci flow continuation

Abstract

We present two new conditions to extend the Ricci flow on a compact manifold over a finite time, which are improvements of some known extension theorems.