具有大第一本征值与数量曲率积分界的共形度量的正则性结果
微分几何
2019-09-09 v2
摘要
我们证明了对于单位体积共形度量,在数量曲率积分界满足且的第一本征值下界为常量时的一个正则性结果。
引用
@article{arxiv.1511.05093,
title = {A regularity result for conformal metrics with large first eigenvalue and integral scalar curvature bounds},
author = {Henrik Matthiesen},
journal= {arXiv preprint arXiv:1511.05093},
year = {2019}
}
备注
13 pages, improved presentation, details added, corrected statements for the application on isospectral metrics, to appear in Annales de la Facult\'e des Sciences de Toulouse