Guoyi Xu

activity

20092023

most citedThree circles theorems for harmonic functions

18 citations · 42 across the 16 of their papers we have counts for

collaborators

Showing 2012Show all

4 papers · 1 filter

math.DG2012★ 6 cited

An equation linking $W$ -entropy with reduced volume

Guoyi Xu

$W$ -entropy and reduced volume for the Ricci flow were introduced by Perelman, which had proved their importance in the study of the Ricci flow. L. Ni studied the analogo…

math.DG2012

Lower bound of Ricci flow's existence time

Guoyi Xu

Let $(M^{n}, g)$ be a compact $n$ -dim ( $n \geq 2$ ) manifold with nonnegative Ricci curvature, and if $n \geq 3$ we assume that $(M^{n}, g) \times R$ has nonnegative isotropic cur…

math.DG2012

The short time asymptotics of Nash entropy

Guoyi Xu

Let $(M^{n}, g)$ be a complete Riemannian manifold with $R c \geq - K g$ , $H (x, y, t)$ is the heat kernel on $M^{n}$ , and $H = (4 π t)^{- \frac{n}{2}} e^{- f}$ . Nash entropy is defined as $N(H,…

math.DG2012★ 1 cited

Local pinching estimates in 3-dim Ricci flow

Bing-Long Chen, Guoyi Xu, Zhuhong Zhang

We study curvature pinching estimates of Ricci flow on complete 3- dimensional manifolds without bounded curvature assumption. We will derive some general curvature conditions whic…

An equation linking W-entropy with reduced volume

Lower bound of Ricci flow's existence time

The short time asymptotics of Nash entropy

Local pinching estimates in 3-dim Ricci flow

An equation linking $W$ -entropy with reduced volume