Minimal surfaces near short geodesics in hyperbolic 3-manifolds

DOI10.1016/J.AIM.2020.107285zbMath1506.53075arXiv1706.07742OpenAlexW2667847669WikidataQ115598707 ScholiaQ115598707MaRDI QIDQ783198

Laurent Mazet, Harold Rosenberg

Publication date: 11 August 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07742

zbMATH Keywords

minimal surfaceshyperbolic 3-manifolds

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

On free-boundary minimal surfaces in the Riemannian Schwarzschild manifold

Cites Work

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• Min-max hypersurface in manifold of positive Ricci curvature
• General curvature estimates for stable H-surfaces in 3-manifolds applications
• Lectures on hyperbolic geometry
• Minimal hypersurfaces of least area
• Compactness of minimal hypersurfaces with bounded index
• Embeddedness of least area minimal hypersurfaces
• The catenoid estimate and its geometric applications
• Min-max minimal hypersurface in \((M^{n+1}, g)\) with \(\mathrm{Ric} > 0\) and \(2 \leq n \leq 6\)
• Normal and integral currents
• The homotopy groups of the integral cycle groups
• Minimal surfaces in finite volume noncompact hyperbolic 3-manifolds
• A Lower Bound for the Volume of Hyperbolic 3-Manifolds
• Existence and regularity of minimal surfaces on Riemannian manifolds
• Complex length of short curves and Minimal Fibrations of hyperbolic three‐Manifolds fibering over the circle
• Corrigendum to “Minimal surfaces in finite volume noncompact hyperbolic 3-manifolds”
• Boundary regularity and embedded solutions for the oriented Plateau problem

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