{ "id": "1903.06728", "version": "v1", "published": "2019-03-15T18:18:02.000Z", "updated": "2019-03-15T18:18:02.000Z", "title": "Sharp Estimates for the First Eigenvalues of the Bi-drifting Laplacian", "authors": [ "Adriano Cavalcante Bezerra", "Changyu Xia" ], "categories": [ "math.DG" ], "abstract": "In the present paper we study some kinds of the problems for the bi-drifting Laplacian operator and get some sharp lower bounds for the first eigenvalue for these eigenvalue problems on compact manifolds with boundary (also called a smooth metric measure space) and weighted Ricci curvature bounded inferiorly.", "revisions": [ { "version": "v1", "updated": "2019-03-15T18:18:02.000Z" } ], "analyses": { "keywords": [ "first eigenvalue", "sharp estimates", "smooth metric measure space", "sharp lower bounds", "bi-drifting laplacian operator" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }