A lower bound for the scalar curvature of the standard solution of the Ricci flow

Abstract

In this paper we will give a rigorous proof of the lower bound for the scalar curvature of the standard solution of the Ricci flow conjectured by G. Perelman. We will prove that the scalar curvature $R$ of the standard solution satisfies $R(x,t)\ge C_0/(1-t)\forall x\in {\mathbb{R}}^3,0\le t<1$, for some constant $C_0>0$.

References in corpus (2)

• Ricci flow with surgery on three-manifolds
• Ricci Flow and the Poincare Conjecture

Cited by in corpus (2)

• A harmonic map flow associated with the standard solution of Ricci flow
• An elementary proof of the convergence of Ricci flow on compact surfaces