{ "id": "math/0508494", "version": "v1", "published": "2005-08-25T10:26:29.000Z", "updated": "2005-08-25T10:26:29.000Z", "title": "Estimates and nonexistence of solutions of the scalar curvature equation on noncompact manifolds", "authors": [ "Zhang Zonglao" ], "comment": "10 pages, no figures, no tables", "journal": "Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 3, August 2005, pp. 309-318", "categories": [ "math.DG", "math.AP" ], "abstract": "This paper is to study the conformal scalar curvature equation on complete noncompact Riemannian manifold of nonpositive curvature. We derive some estimates and properties of supersolutions of the scalar curvature equation, and obtain some nonexistence results for complete solutions of scalar curvature equation.", "revisions": [ { "version": "v1", "updated": "2005-08-25T10:26:29.000Z" } ], "analyses": { "subjects": [ "53C21", "35J60" ], "keywords": [ "noncompact manifolds", "complete noncompact riemannian manifold", "conformal scalar curvature equation", "complete solutions", "nonexistence results" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......8494Z" } } }