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arXiv · 2005.03062

Deformation classes in generalized Kähler geometry

Matthew Gibson·Jeffrey Streets
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Abstract

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.

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Matthew Gibson, Jeffrey Streets. 2020-05-06. Deformation classes in generalized Kähler geometry. https://arxiv.org/abs/2005.03062

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