{ "id": "2009.13142", "version": "v1", "published": "2020-09-28T08:43:55.000Z", "updated": "2020-09-28T08:43:55.000Z", "title": "Cohomogeneity One Manifolds and Homogeneous Spaces of Positive Scalar Curvature", "authors": [ "Georg Frenck", "Fernando Galaz-Garcia", "Philipp Reiser" ], "comment": "10 pages", "categories": [ "math.DG" ], "abstract": "We characterize cohomogeneity one manifolds and homogeneous spaces with a compact Lie group action admitting an invariant metric with positive scalar curvature.", "revisions": [ { "version": "v1", "updated": "2020-09-28T08:43:55.000Z" } ], "analyses": { "subjects": [ "53C20", "57S15" ], "keywords": [ "positive scalar curvature", "homogeneous spaces", "cohomogeneity", "compact lie group action admitting", "invariant metric" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }