Area bounds for minimal surfaces that pass through a prescribed point in a ball

DOI10.1007/s00039-017-0399-6zbMath1368.53006arXiv1607.04631OpenAlexW2503836405MaRDI QIDQ529611

Simon Brendle, Pei-Ken Hung

Publication date: 19 May 2017

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04631

zbMATH Keywords

area boundminimal surface in a ball

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 (5)

Superforms, supercurrents, minimal manifolds and Riemannian geometry ⋮ Minimal hypersurfaces and geometric inequalities ⋮ Moving-centre monotonicity formulae for minimal submanifolds and related equations ⋮ Eldan's stochastic localization and tubular neighborhoods of complex-analytic sets ⋮ Area bounds for free boundary minimal surfaces in a geodesic ball in the sphere

Cites Work

• Unnamed Item
• Embeddedness of minimal surfaces with total boundary curvature at most \(4\pi\)
• A sharp bound for the area of minimal surfaces in the unit ball
• On the first variation of a varifold
• Area Bounds for Various Classes of Surfaces

This page was built for publication: Area bounds for minimal surfaces that pass through a prescribed point in a ball