Deformation classes in generalized K\"ahler geometry
Differential Geometry
2020-05-08 v1
Abstract
We introduce natural deformation classes of generalized K\"ahler structures using the Courant symmetry group. We show that these yield natural extensions of the notions of K\"ahler class and K\"ahler cone to generalized K\"ahler geometry. Lastly we show that the generalized K\"ahler-Ricci flow preserves this generalized K\"ahler cone, and the underlying real Poisson tensor.
Keywords
Cite
@article{arxiv.2005.03062,
title = {Deformation classes in generalized K\"ahler geometry},
author = {Matthew Gibson and Jeffrey Streets},
journal= {arXiv preprint arXiv:2005.03062},
year = {2020}
}