The volume of a local nodal domain

Dan Mangoubi

doi:10.1142/S1793525310000306

The volume of a local nodal domain

Dan Mangoubi^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Let M either be a closed real analytic Riemannian manifold or a closed C ^∞-Riemannian surface. We estimate from below the volume of a nodal domain component in an arbitrary ball, provided that this component enters the ball deeply enough.

Original language	English
Pages (from-to)	259-275
Number of pages	17
Journal	Journal of Topology and Analysis
Volume	2
Issue number	2
DOIs	https://doi.org/10.1142/S1793525310000306
State	Published - Jun 2010

Keywords

Courant
Nodal domains
growth lemma
local asymmetry
three circles theorem

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abstract = "Let M either be a closed real analytic Riemannian manifold or a closed C ∞-Riemannian surface. We estimate from below the volume of a nodal domain component in an arbitrary ball, provided that this component enters the ball deeply enough.",

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author = "Dan Mangoubi",

year = "2010",

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KW - Courant

KW - Nodal domains

KW - growth lemma

KW - local asymmetry

KW - three circles theorem

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The volume of a local nodal domain

Abstract

Keywords

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