Minimal area surfaces and fibered hyperbolic 3-manifolds

DOI10.1090/proc/15998zbMath1503.53017arXiv2105.02631OpenAlexW3157573469WikidataQ115546035 ScholiaQ115546035MaRDI QIDQ5869799

James Farre, Franco Vargas Pallete

Publication date: 29 September 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.02631

zbMATH Keywords

least areaminimal surfacescomplete hyperbolic 3-manifoldsmaximal principal curvaturesmaximum principal curvatures

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) Hyperbolic 3-manifolds (57K32)

Cites Work

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• Rigidity of area-minimizing two-spheres in three-manifolds
• Complete minimal hypersurfaces in hyperbolic n-manifolds
• The classification of Kleinian surface groups. I: Models and bounds
• Complete minimal varieties in hyperbolic space
• Least area incompressible surfaces in 3-manifolds
• Collars in Kleinian groups
• Curvature estimates for minimal hypersurfaces
• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Complex length of short curves and Minimal Fibrations of hyperbolic three‐Manifolds fibering over the circle
• Minimal Surfaces in Hyperbolic 3‐Manifolds

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