Generalised contact geometry as reduced generalised complex geometry

DOI10.1016/j.geomphys.2018.04.009zbMath1405.53041arXiv1708.09550OpenAlexW2751672843MaRDI QIDQ1635482

Kyle Wright

Publication date: 6 June 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09550

zbMATH Keywords

T-dualitycontact geometrygeneralised geometry

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometric aspects of gerbes and differential characters (53C08) Generalized geometries (à la Hitchin) (53D18)

Related Items (3)

Gauged sigma-models with nonclosed 3-form and twisted Jacobi structures ⋮ \(B_n\)-generalized pseudo-Kähler structures ⋮ Generalized Sasakian structures from a Poisson geometry viewpoint

Cites Work

• Graded contact manifolds and contact Courant algebroids
• Leibniz algebroids, twistings and exceptional generalized geometry
• Contact manifolds and generalized complex structures
• Generalized complex geometry
• Derived brackets
• Hamilton-Jacobi diffieties
• Generalized coKähler geometry and an application to generalized Kähler structures
• Omni-Lie algebroids
• Topology of co-symplectic/co-Kähler manifolds
• Generalized contact bundles
• \(T\)-duality for torus bundles with \(H\)-fluxes via noncommutative topology
• \(T\)-duality: topology change from \(H\)-flux
• On products of generalized geometries
• Generalized almost contact structures and generalized Sasakian structures
• Generalized contact geometry and T-duality
• Generalized complex structures on nilmanifolds
• Generalized CRF-structures
• On the structure of co-Kähler manifolds
• Topology and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>H</mml:mi></mml:math>-Flux of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mm
• E-Courant Algebroids
• Lectures on Cohomology, T-Duality, and Generalized Geometry
• Generalized complex geometry and T-duality
• Lie algebroid foliations and $\Script E$1(M)-Dirac structures
• Generalized Calabi-Yau Manifolds
• Generalized contact structures
• Dirac structures and generalized complex structures on

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