{ "id": "1411.3274", "version": "v1", "published": "2014-11-12T18:44:58.000Z", "updated": "2014-11-12T18:44:58.000Z", "title": "On a class of submanifolds in tangent bundle with g- natural metric", "authors": [ "Stanisław Ewert-Krzemieniewski" ], "comment": "Key words: Riemannian manifold, tangent bundle, g - natural metric, submanifold, izometric immersion, non-degenerate metric", "categories": [ "math.DG" ], "abstract": "An isometric immersion of a Riemannian manifold M into a Riemannian manifold N gives rise in a natural way to the immersion of the tangent bundle TM into the tangent bundle TN with a non-degenerate g- natural metric G.", "revisions": [ { "version": "v1", "updated": "2014-11-12T18:44:58.000Z" } ], "analyses": { "subjects": [ "53B20", "53C07", "53B21", "55C25" ], "keywords": [ "natural metric", "riemannian manifold", "submanifolds", "tangent bundle tm", "tangent bundle tn" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1411.3274E" } } }