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arXiv · 1701.02622

Generalized Almost Product Structures and Generalized CRF-structures

Marco Aldi·Daniele Grandini
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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.

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Marco Aldi, Daniele Grandini. 2017-01-10. Generalized Almost Product Structures and Generalized CRF-structures. https://doi.org/10.1016/j.geomphys.2017.07.009

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