{ "id": "0907.1501", "version": "v4", "published": "2009-07-09T11:00:55.000Z", "updated": "2012-03-21T09:27:38.000Z", "title": "Canonical connection on a class of Riemannian almost product manifolds", "authors": [ "Dobrinka Gribacheva", "Dimitar Mekerov" ], "comment": "19 pages, some corrections in the example; J. Geom. (2012)", "doi": "10.1007/s00022-011-0098-7", "categories": [ "math.DG" ], "abstract": "The canonical connection on a Riemannian almost product manifold is an analogue to the Hermitian connection on an almost Hermitian manifold. In this paper we consider the canonical connection on a class of Riemannian almost product manifolds with non-integrable almost product structure. We construct and characterize an example by a Lie group.", "revisions": [ { "version": "v4", "updated": "2012-03-21T09:27:38.000Z" } ], "analyses": { "subjects": [ "53C15", "53C25", "53C05", "53C07", "22E60" ], "keywords": [ "product manifold", "canonical connection", "riemannian", "lie group" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0907.1501G" } } }