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arxiv: 0806.3327 · v5 · submitted 2008-06-20 · 🧮 math.SP · math.AP

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The Volume of a Local Nodal Domain

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classification 🧮 math.SP math.AP
keywords ballclosedcomponentdomainnodalriemannianvolumeanalytic
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Let M either be a closed real analytic Riemannian manifold or a closed smooth 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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