Generalized Almost Product Structures and Generalized CRF-structures
Differential Geometry
2018-03-14 v1 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1701.02622,
title = {Generalized Almost Product Structures and Generalized CRF-structures},
author = {Marco Aldi and Daniele Grandini},
journal= {arXiv preprint arXiv:1701.02622},
year = {2018}
}