Matthew Gibson — Neckpinchhttps://neckpinch.com/authors/matthew-gibson/New arXiv papers by Matthew Gibson, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Deformation classes in generalized Kähler geometryhttps://neckpinch.com/papers/2005.03062/arxiv:2005.03062Wed, 06 May 2020 00:00:00 GMTMatthew Gibson, Jeffrey Streets — We introduce natural deformation classes of generalized Kähler structures using the Courant symmetry group. We show that these yield natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry. Lastly we show that the generalized Kähler-Ricci flow preserves this generalized Kähler cone, and the underlying real Poisson tensor.Ricci flowKähler–Ricci flowKähler geometry