Covering lemmas and an application to nodal geometry on Riemannian manifolds

@inproceedings{Lu1993CoveringLA,
  title={Covering lemmas and an application to nodal geometry on Riemannian manifolds},
  author={Guozhen Lu},
  year={1993}
}
The main part of this note is to show a general covering lemma in Rn, n 2 2 , with the aim to obtain the estimate for BMO norm and the volume of a nodal set of eigenfunctions on Riemannian manifolds. This article is a continuation of our previous work [L]. In [L] we proved a covering lemma in R2 and applied it to the BMO norm estimates for eigenfunctions on Riemannian surfaces. The principal part of this article is to prove a general covering lemma in Rn for n 2 2 . As applications, we can… CONTINUE READING