Nefton Pali — Neckpinchhttps://neckpinch.com/authors/nefton-pali/New arXiv papers by Nefton Pali, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Concavity of Perelman's 𝓦-functional over the space of Kähler potentialshttps://neckpinch.com/papers/1605.09290/arxiv:1605.09290Mon, 30 May 2016 00:00:00 GMTNefton Pali — In this short note we observe that the concavity of Perelman's 𝓦-functional over a neighborhood of a Kähler-Ricci soliton inside the space of Kähler potentials is a direct consequence of author's solution of the variational stability problem for Kähler-Ricci solitons. Independently, we provide a rather simple proof of this fact based on some elementary formulas obtained in our previous work.Ricci solitonsKähler–Ricci solitonsKähler geometryStability & uniqueness