Deformation classes in generalized Kähler geometry

DOI10.1515/coma-2020-0101zbMath1456.53057arXiv2005.03062OpenAlexW3097875474WikidataQ126085610 ScholiaQ126085610MaRDI QIDQ2220098

Jeffrey Streets, Matthew R. Gibson

Publication date: 21 January 2021

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.03062

zbMATH Keywords

Ricci flowgeneralized geometrygeneralized Kähler conegeneralized Kähler-Ricci flowreal Poisson tensor.

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Generalized geometries (à la Hitchin) (53D18) Ricci flows (53E20) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Related Items (3)

Generalized Kähler-Ricci flow on toric Fano varieties ⋮ Variational structure and uniqueness of generalized Kähler-Ricci solitons ⋮ Non-Kähler Calabi-Yau geometry and pluriclosed flow

Cites Work

• Generalized Kähler geometry and the pluriclosed flow
• Generalized complex geometry
• Deformations of generalized complex generalized Kähler structures
• Pluriclosed flow on generalized Kähler manifolds with split tangent bundle
• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Über holomorphe \(P_ n\)-Bündel über \(P_ 1\)
• Bi-hermitian metrics on del Pezzo surfaces
• Generalized Kähler manifolds, commuting complex structures, and split tangent bundles
• Vanishing theorems and string backgrounds
• Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds
• Branes on Poisson varieties
• Bihermitian Structures on Complex Surfaces
• Generalized Calabi-Yau Manifolds

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