Concavity of Perelman's $\mathcal{W}$-functional over the space of K\'ahler potentials
Autor: | Pali, Nefton |
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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 |
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