Complex Manifolds (Oct 2020)

Deformation classes in generalized Kähler geometry

  • Gibson Matthew,
  • Streets Jeffrey

DOI
https://doi.org/10.1515/coma-2020-0101
Journal volume & issue
Vol. 7, no. 1
pp. 241 – 256

Abstract

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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.

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