Generalized Contact Geometry and T-Duality

Abstract

We study generalized almost contact structures on odd-dimensional manifolds. We introduce a notion of integrability and show that the class of these structures is closed under symmetries of the Courant-Dorfman bracket, including T-duality. We define a notion of geometric type for generalized almost contact structures, and study its behavior under T-duality.

26 pages. Several changes in the exposition

References in corpus (9)

• All AdS_7 solutions of type II supergravity
• T-Duality: Topology Change from H-flux
• On the Topology and Flux of T-Dual Manifolds
• The graded Jacobi algebras and (co)homology
• Contact manifolds and generalized complex structures
• Generalized complex geometry and T-duality
• Generalized Contact Structures
• On Products of Generalized Geometries
• Generalized almost contact structures and generalized Sasakian structures

Cited by in corpus (9)

• Generalized Contact Bundles
• Holomorphic Jacobi Manifolds and Holomorphic Contact Groupoids
• The Local Structure of Generalized Contact Bundles
• An Abstract Morimoto Theorem for Generalized $F$-structures
• Generalized Almost Product Structures and Generalized CRF-structures
• Generalised contact geometry as reduced generalised complex geometry
• Polynomial Structures in Generalized Geometry
• Commuting Pairs of Generalized Contact Metric Structures
• Regular Jacobi Structures and Generalized Contact Bundles