{ "id": "2011.08831", "version": "v1", "published": "2020-11-17T18:50:58.000Z", "updated": "2020-11-17T18:50:58.000Z", "title": "Existence and uniqueness of inhomogeneous ruled hypersurfaces with shape operator of constant norm in the complex hyperbolic space", "authors": [ "Miguel Dominguez-Vazquez", "Olga Perez-Barral" ], "comment": "3 pages", "categories": [ "math.DG" ], "abstract": "We complete the classification of ruled real hypersurfaces with shape operator of constant norm in nonflat complex space forms by showing the existence of a unique inhomogeneous example in the complex hyperbolic space.", "revisions": [ { "version": "v1", "updated": "2020-11-17T18:50:58.000Z" } ], "analyses": { "subjects": [ "53B25", "53C42", "53C55" ], "keywords": [ "complex hyperbolic space", "inhomogeneous ruled hypersurfaces", "shape operator", "constant norm", "nonflat complex space forms" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }