{ "id": "1704.05270", "version": "v1", "published": "2017-04-18T11:15:32.000Z", "updated": "2017-04-18T11:15:32.000Z", "title": "On biconservative surfaces in Euclidean spaces", "authors": [ "Rüya Yeğin Şen", "Nurettin Cenk Turgay" ], "categories": [ "math.DG" ], "abstract": "In this paper, we study biconservative surfaces with parallel normalized mean curvature vector in $\\mathbb{E}^4$. We obtain complete local classification in $\\mathbb{E}^4$ for a biconservative PNMCV surface. We also give an example to show the existence of PNMCV biconservative surfaces in $\\mathbb{E}^4$.", "revisions": [ { "version": "v1", "updated": "2017-04-18T11:15:32.000Z" } ], "analyses": { "keywords": [ "euclidean spaces", "parallel normalized mean curvature vector", "complete local classification", "study biconservative surfaces", "pnmcv biconservative surfaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }