Abstract
We prove a sharp Logarithmic Sobolev inequality along an extended Ricci flow. As applications, we derive an integral bound for the conjugate heat kernel and also obtain Lipschitz continuity of the pointed Nash entropy. Finally, based on these results, we prove an ε-regularity theorem for this extended Ricci flow.
| Original language | English |
|---|---|
| Pages (from-to) | 483-509 |
| Number of pages | 27 |
| Journal | Pacific Journal of Mathematics |
| Volume | 298 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2019 |
Keywords
- Conjugate heat kernel
- Logarithmic Sobolev inequalities
- ε-regularity