{ "id": "1411.2991", "version": "v1", "published": "2014-11-11T21:38:36.000Z", "updated": "2014-11-11T21:38:36.000Z", "title": "On a positivity preservation property for Schrödinger operators on Riemannian manifolds", "authors": [ "Ognjen Milatovic" ], "categories": [ "math.AP", "math.SP" ], "abstract": "We study a positivity preservation property for Schr\\\"odinger operators with singular potential on geodesically complete Riemannian manifolds with non-negative Ricci curvature. We apply this property to the question of self-adjointness of the maximal realization of the corresponding operator.", "revisions": [ { "version": "v1", "updated": "2014-11-11T21:38:36.000Z" } ], "analyses": { "subjects": [ "47B25", "58J50" ], "keywords": [ "positivity preservation property", "schrödinger operators", "geodesically complete riemannian manifolds", "non-negative ricci curvature", "singular potential" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1411.2991M" } } }