The Logarithmic Sobolev Inequality Along the Ricci Flow: The Case $$\lambda _0(g_0)=0$$λ0(g0)=0

By R. Ye. 2007

47 citations recorded by the source corpus.

A uniform logarithmic Sobolev inequality, a uniform Sobolev inequality and a uniform $$\kappa $$κ-noncollapsing estimate along the Ricci flow are established in the situation that a certain smallest eigenvalue for the initial metric is zero.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/93b25c0f0da02a6dec18e5623094133c31e8cbaf

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In Applied Mathematics

1. Yanir A. Rubinstein
2. G. Tian
3. Robert J. Berman
4. Chi Li
5. Tam'as Darvas
6. Song Sun
7. Xiuxiong Chen
8. B. Weinkove

In Geometry and Topology

1. Yanir A. Rubinstein
2. G. Tian
3. Robert J. Berman
4. Chi Li
5. Tam'as Darvas
6. Song Sun
7. Xiuxiong Chen
8. B. Weinkove

Citations in the corpus

• On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow (2007, methodology): “We will make essential use of the following estimates of Perelman, Ye and Zhang.”
• Existence of Einstein Metrics on Fano Manifolds (2012, methodology): “The Sobolev inequality along the Kähler-Ricci flow has been established by Q. Zhang and R.G. Ye based on Perelman’s fundamental works on Ricci flow (see [QZ07], [Ye07]).”