Unobstructed K-deformations of generalized complex structures and bi-Hermitian structures

DOI10.1016/j.aim.2012.05.004zbMath1252.53095arXiv0911.2958OpenAlexW2073858577WikidataQ125868365 ScholiaQ125868365MaRDI QIDQ452057

Ryushi Goto

Publication date: 19 September 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2958

zbMATH Keywords

bi-Hermitian structuresgeneralized complex manifoldsgeneralized Kähler structuresunobstructed deformations

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Poisson manifolds; Poisson groupoids and algebroids (53D17) Other complex differential geometry (53C56) Generalized geometries (à la Hitchin) (53D18)

Related Items (9)

Generalized Kähler-Ricci flow on toric Fano varieties ⋮ Matsushima-Lichnerowicz type theorems of Lie algebra of automorphisms of generalized Kähler manifolds of symplectic type ⋮ Bi-Hermitian metrics on Kato surfaces ⋮ Generalized Kähler geometry ⋮ Variational structure and uniqueness of generalized Kähler-Ricci solitons ⋮ Twisted differentials and Lee classes of locally conformally symplectic complex surfaces ⋮ On the stability of locally conformal Kähler structures ⋮ On deformations of generalized Calabi-Yau and generalized \(\mathrm{SU}(n)\)-structures ⋮ Unobstructed Deformations of Generalized Complex Structures Induced by $$C^{\infty } $$ C ∞ Logarithmic Symplectic Structures and Logarithmic Poisson Structures

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• MODULI SPACES OF TOPOLOGICAL CALIBRATIONS, CALABI–YAU, HYPERKÄHLER, G₂ and SPIN(7) STRUCTURES

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