{ "id": "1802.09341", "version": "v1", "published": "2018-02-26T14:47:01.000Z", "updated": "2018-02-26T14:47:01.000Z", "title": "Ruled hypersurfaces with constant mean curvature in complex space forms", "authors": [ "Miguel Dominguez-Vazquez", "Olga Perez-Barral" ], "comment": "7 pages", "categories": [ "math.DG" ], "abstract": "We show that ruled real hypersurfaces with constant mean curvature in the complex projective and hyperbolic spaces must be minimal. This provides their classification, by virtue of a result of Lohnherr and Reckziegel.", "revisions": [ { "version": "v1", "updated": "2018-02-26T14:47:01.000Z" } ], "analyses": { "subjects": [ "53B25", "53C42", "53C55" ], "keywords": [ "constant mean curvature", "complex space forms", "ruled hypersurfaces", "hyperbolic spaces", "ruled real hypersurfaces" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }