中文

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p>n/2p>n/2Δ\Delta的第一本征值下界为常量B>Λ1(Sn,[gst.])B > \Lambda_1(S^n,[g_{st.}])时的一个正则性结果。

关键词

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