Generalised contact geometry as reduced generalised complex geometry
Differential Geometry
2018-05-24 v2 Mathematical Physics
math.MP
Abstract
Generalised contact structures are studied from the point of view of reduced generalised complex structures, naturally incorporating non-coorientable structures as non-trivial fibering. The infinitesimal symmetries are described in detail, with a geometric description given in terms of gerbes. As an application of the reduction procedure, generalised coK\"ahler structures are defined in a way which extends the K\"ahler/coK\"ahler correspondence.
Cite
@article{arxiv.1708.09550,
title = {Generalised contact geometry as reduced generalised complex geometry},
author = {Kyle Wright},
journal= {arXiv preprint arXiv:1708.09550},
year = {2018}
}
Comments
23 pages. Exposition improved, details added, and errors corrected