| Autor: |
Pali, Nefton |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
European Journal of Mathematics, 3 (2017), no. 3, 587-602 |
| Druh dokumentu: |
Working Paper |
| Popis: |
In this short note we observe that the concavity of Perelman's $\mathcal{W}$-functional over a neighborhood of a K\"ahler-Ricci soliton inside the space of K\"ahler potentials is a direct consequence of author's solution of the variational stability problem for K\"ahler-Ricci solitons. Independently, we provide a rather simple proof of this fact based on some elementary formulas obtained in our previous work. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
