Generalized Almost Product Structures and Generalized CRF-structures

Abstract

We give several equivalent characterizations of orthogonal subbundles of the generalized tangent bundle defined, up to B-field transform, by almost product and local product structures. We also introduce a pure spinor formalism for generalized CRF-structure and investigate the resulting decomposition of the de Rham operator. As applications we give a characterization of generalized complex manifolds that are locally the product of generalized complex factors and discuss infinitesimal deformations of generalized CRF-structures.

References in corpus (4)

• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case
• An Abstract Morimoto Theorem for Generalized $F$-structures
• The basic $d{d}^{\mathcal{J}}$-lemma

Cited by in corpus (2)

• Polynomial Structures in Generalized Geometry
• On hypersurfaces of generalized Kähler manifolds