Covering Lemmas and an Application to Nodal Geometry on Riemannian Manifolds

Abstract

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… (More)

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Cite this paper

@inproceedings{Lu2007CoveringLA, title={Covering Lemmas and an Application to Nodal Geometry on Riemannian Manifolds}, author={Guozhen Lu}, year={2007} }