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20032022
most citedThe first eigenvalue of Dirac and Laplace operators on surfaces

4 citations · 6 across the 10 of their papers we have counts for

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Showing 2018Show all

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math.DS2018

Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits

Emmanuel Humbert, Yannick Privat, Emmanuel Trélat

We provide new geometric and spectral characterizations for a Riemannian manifold to be a Zoll manifold, i.e., all geodesics of which are periodic. We analyze relationships with in…

math.DG2018

Mass functions of a compact manifold

Andreas Hermann, Emmanuel Humbert

Let be a compact manifold of dimension . In this paper, we introduce the {\em Mass Function} $a \geq 0 \mapsto \xp{M}{a}$ (resp. $a \geq 0 \mapsto \xm{M}{a}$) which is defin…