Generalised contact geometry as reduced generalised complex geometry

Abstract

Generalised contact structures are studied from the point of view of reduced generalised complex structures, naturally incorporating non-coorientable structures as non-trivial fibering. The infinitesimal symmetries are described in detail, with a geometric description given in terms of gerbes. As an application of the reduction procedure, generalised coKähler structures are defined in a way which extends the Kähler/coKähler correspondence.

23 pages. Exposition improved, details added, and errors corrected

References in corpus (6)

• On the Topology and Flux of T-Dual Manifolds
• Letters to Alan Weinstein about Courant algebroids
• Generalized Contact Bundles
• On the structure of co-Kähler manifolds
• Improving the improved action
• Generalized CoKähler Geometry and an Application to Generalized Kähler Structures

Cited by in corpus (1)

• Gauged sigma-models with nonclosed 3-form and twisted Jacobi structures