{ "id": "1302.4429", "version": "v1", "published": "2013-02-16T05:16:33.000Z", "updated": "2013-02-16T05:16:33.000Z", "title": "On phi-Recurrent (k, m)-Contact Metric Manifolds", "authors": [ "E. Peyghan", "A. Tayebi" ], "categories": [ "math.DG" ], "abstract": "In this paper, we show that there is no phi-recurrent Sasakian manifold. Then we prove that the only flat 3-dimensional manifolds are phi-recurrent (k, m)-contact metric manifolds.", "revisions": [ { "version": "v1", "updated": "2013-02-16T05:16:33.000Z" } ], "analyses": { "subjects": [ "53C15", "53C40" ], "keywords": [ "metric manifolds", "phi-recurrent sasakian manifold" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1302.4429P" } } }