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Asymptotic counting of minimal surfaces in hyperbolic manifolds [according to Calegari, Marques and Neves]

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arxiv 2203.09366 v1 pith:EOARZMN3 submitted 2022-03-17 math.DG

François Labourie This is my paper · ORCID
classification math.DG
keywords calegaricountingmarquesminimalnevessurfacesaccordingarticle
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A report on an article of Calegari, Marques and Neves about counting minimal surfaces. An idea of a proof is included using the concept of a laminar measure.

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Cited by 1 Pith paper

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  1. Minimal surface entropy and applications of Ricci flow on finite-volume hyperbolic 3-manifolds

    math.DG 2025-08 conditional novelty 6.0 of 10

    For finite-volume hyperbolic 3-manifolds, the hyperbolic metric uniquely minimizes minimal surface entropy among sectional curvature at most -1 metrics and uniquely maximizes it among scalar curvature at least -6 metr...

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