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

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

2006-12-15

arxiv.org/abs/math/0612426v1

Mathematics

Differential Geometry

Scientific paper

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 $R(x,t)\ge C_0/(1-t)\quad\forall x\in\Bbb{R}^3,0\le t<1$, for some
constant $C_0>0$.

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