Properly embedded minimal planar domains

DOI10.4007/annals.2015.181.2.2zbMath1315.53008arXiv1306.1690OpenAlexW2123343089MaRDI QIDQ2255290

Joaquín Pérez, Antonio Ros, William Hamilton III Meeks

Publication date: 9 February 2015

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1690

zbMATH Keywords

stabilityJacobi functionminimal surfacefinite total curvatureKorteweg-de Vries equationKdV hierarchycurvature estimatesindex of stabilitylimit tangent plane at infinityShiffman function

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (19)

The dynamics theorem for properly embedded minimal surfaces ⋮ Simple factor dressing and the López-Ros deformation of minimal surfaces in Euclidean 3-space ⋮ Triply periodic constant mean curvature surfaces ⋮ Structure theorems for singular minimal laminations ⋮ Evolution of form and shape ⋮ Free boundary minimal annuli immersed in the unit ball ⋮ Riemann’s Work on Minimal Surfaces ⋮ Bernhard Riemann and His Work ⋮ NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY ⋮ The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus ⋮ Limit lamination theorems for \(H\)-surfaces ⋮ Applications of quaternionic holomorphic geometry to minimal surfaces ⋮ Rigidity theorems of minimal surfaces foliated by similar planar curves ⋮ Finite topology minimal surfaces in homogeneous three-manifolds ⋮ Mean-convex Alexandrov embedded constant mean curvature tori in the 3-sphere ⋮ The embedded Calabi-Yau conjecture for finite genus ⋮ Plateau’s Problem ⋮ The classical theory of minimal surfaces ⋮ Non-simply connected minimal planar domains in $\mathbb {H}^2\times \mathbb {R}$

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