{ "id": "1210.7606", "version": "v1", "published": "2012-10-29T10:10:22.000Z", "updated": "2012-10-29T10:10:22.000Z", "title": "On Lower Bounds of the First Eigenvalue of Finsler-Laplacian", "authors": [ "Songting Yin", "Qun He", "Yibing Shen" ], "categories": [ "math.DG", "math.AP" ], "abstract": "By using Bochner technique and gradient estimate, we give the lower bound estimates of the first eigenvalue of Finsler-Laplacian on Finsler manifolds. These results generalize the corresponding famous theorems in the Riemannian geometry.", "revisions": [ { "version": "v1", "updated": "2012-10-29T10:10:22.000Z" } ], "analyses": { "keywords": [ "first eigenvalue", "finsler-laplacian", "lower bound estimates", "finsler manifolds", "bochner technique" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1210.7606Y" } } }