Generalized almost product structures and generalized CRF-structures

JOURNAL OF GEOMETRY AND PHYSICS

卷:121

Article

Aldi, Marco¹  Grandini, Daniele² 

[1] Virginia Commonwealth Univ, Dept Math & Appl Math, Med Coll Virginia Campus, Richmond, VA 23284 USA

[2] Virginia State Univ, Dept Math & Econ, Petersburg, VA 23806 USA

关键词: Generalized geometry;    Foliations;    Spinors;    Generalized complex structures;   

DOI  :  10.1016/j.geomphys.2017.07.009

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free