https://neckpinch.com/authors/michael-albanese/New arXiv papers by Michael Albanese, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2402.03996/arxiv:2402.03996Tue, 06 Feb 2024 00:00:00 GMTMichael Albanese, Giuseppe Barbaro, Mehdi Lejmi — We generalize Kähler-Ricci solitons to the almost-Kähler setting as the zeros of Inoue's moment map, and show that their existence is an obstruction to the existence of first-Chern-Einstein almost-Kähler metrics on compact symplectic Fano manifolds. We prove deformation results of such metrics in the 4-dimensional case. Moreover, we study the Lie algebra of holomorphic vector fields on 2n-dimensional compact symplectic Fano manifolds admitting generalized almost-Kähler-Ricci solitons. In particular, we partially extend Matsushima's theorem to compact first-Chern-Einstein almost-Kähler manifolds.Ricci solitonsKähler–Ricci solitonsKähler geometry