{ "id": "1708.09550", "version": "v1", "published": "2017-08-31T03:43:53.000Z", "updated": "2017-08-31T03:43:53.000Z", "title": "Generalised contact geometry as reduced generalised complex geometry", "authors": [ "Kyle Wright" ], "comment": "18 pages", "categories": [ "math.DG", "math-ph", "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 Sasakian/Sasaki-Einstein/3-Sasaki structures are defined in a way which extends the Sasaki-K\\\"ahler correspondence.", "revisions": [ { "version": "v1", "updated": "2017-08-31T03:43:53.000Z" } ], "analyses": { "keywords": [ "reduced generalised complex geometry", "generalised contact geometry", "reduction procedure", "geometric description", "reduced generalised complex structures" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }