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BY 4.0 license Open Access Published by De Gruyter Open Access October 31, 2020

Deformation classes in generalized Kähler geometry

  • Matthew Gibson and Jeffrey Streets EMAIL logo
From the journal Complex Manifolds


We describe natural deformation classes of generalized Kähler structures using the Courant symmetry group, which determine natural extensions of the notions of Kähler class and Kähler cone to generalized Kähler geometry. We show that the generalized Kähler-Ricci flow preserves this generalized Kähler cone, and the underlying real Poisson tensor.

MSC 2010: 53C55; 53D18; 53E20; 53E30


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Received: 2020-05-05
Accepted: 2020-10-11
Published Online: 2020-10-31

© 2020 Matthew Gibson et al., published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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