{ "id": "1502.05227", "version": "v1", "published": "2015-02-18T13:44:56.000Z", "updated": "2015-02-18T13:44:56.000Z", "title": "Positive mass theorem for some asymptotically hyperbolic manifolds", "authors": [ "Bernd Ammann", "Nadine Große" ], "categories": [ "math.DG" ], "abstract": "We prove a positive mass theorem for some noncompact spin manifolds that are asymptotic to products of hyperbolic space with a compact manifold. As conclusion we show the Yamabe inequality for some noncompact manifolds which are important to understand the behaviour of Yamabe invariants under surgeries.", "revisions": [ { "version": "v1", "updated": "2015-02-18T13:44:56.000Z" } ], "analyses": { "subjects": [ "53C21", "53C27" ], "keywords": [ "positive mass theorem", "asymptotically hyperbolic manifolds", "noncompact spin manifolds", "hyperbolic space", "yamabe invariants" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }