{ "id": "0905.0801", "version": "v2", "published": "2009-05-06T10:53:27.000Z", "updated": "2017-08-29T05:53:15.000Z", "title": "On a Three Dimensional Riemannian Manifold with an Additional Structure", "authors": [ "Georgi Dzhelepov", "Iva Dokuzova", "Dimitar Razpopov" ], "comment": "9 pages", "journal": "Plovdiv Univ. Sci. Works Math., V. 38, no. 3, 2011, p.17-27", "categories": [ "math.DG" ], "abstract": "We consider a 3-dimensional Riemannian manifold with additional structure q. We find a condition that the affine structure q is parallel with respect to the Riamannian connection.We prove the sectional curvatures of three 2-sections formed linearly independent vectors are equal among them.", "revisions": [ { "version": "v1", "updated": "2009-05-06T10:53:27.000Z", "comment": "4 pages", "doi": null }, { "version": "v2", "updated": "2017-08-29T05:53:15.000Z" } ], "analyses": { "subjects": [ "53B20" ], "keywords": [ "dimensional riemannian manifold", "additional structure", "affine structure", "riamannian connection", "sectional curvatures" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0905.0801D" } } }