Weyl law for the volume spectrum

Andr\'e Neves; Fernando C. Marques; Yevgeny Liokumovich

arxiv: 1607.08721 · v2 · pith:C6XLI3CPnew · submitted 2016-07-29 · 🧮 math.DG · math.GT· math.SP

Weyl law for the volume spectrum

Yevgeny Liokumovich , Fernando C. Marques , Andr\'e Neves This is my paper

classification 🧮 math.DG math.GTmath.SP

keywords spectrumvolumeweylboundaryconjecturedemptygivengromov

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Given $M$ a Riemannian manifold with (possibly empty) boundary, we show that its volume spectrum $\{\omega_p(M)\}_{p\in\mathbb{N}}$ satisfies a Weyl law that was conjectured by Gromov.

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Weyl law for the volume spectrum

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