The space of embedded minimal surfaces of fixed genus in a 3-manifold. II: Multi-valued graphs in disks
From MaRDI portal
Publication:1769553
DOI10.4007/annals.2004.160.69zbMath1070.53032arXivmath/0210086OpenAlexW1973267965WikidataQ56211606 ScholiaQ56211606MaRDI QIDQ1769553
Tobias Holck Colding, William P. II. Minicozzi
Publication date: 4 April 2005
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0210086
Spaces of embeddings and immersions (58D10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)
Related Items
On De Giorgi's conjecture: recent progress and open problems, Existence of minimal surfaces of arbitrarily large Morse index, Stability properties for the higher dimensional catenoid in $\mathbb R^{n+1}$, Self-shrinkers with a rotational symmetry, Compactness and generic finiteness for free boundary minimal hypersurfaces. I, Compactness of self-shrinkers in \(\mathbb{R}^3\) with fixed genus, A minimal lamination of the unit ball with singularities along a line segment, Structure theorems for singular minimal laminations, \(C^{1,\alpha}\)-regularity for surfaces with \(H\in L^p\), The mean curvature at the first singular time of the mean curvature flow, Generic mean curvature flow. I: Generic singularities, Evolution of form and shape, Morse index, Betti numbers, and singular set of bounded area minimal hypersurfaces, Minimal immersions of closed surfaces in hyperbolic three-manifolds, Three circles theorems for Schrödinger operators on cylindrical ends and geometric applications, Shapes of embedded minimal surfaces, Vanishing theorems for \(L^2\) harmonic 1-forms on complete submanifolds in a Riemannian manifold, The space of embedded minimal surfaces of fixed genus in a 3-manifold. V. Fixed genus, Limit lamination theorems for \(H\)-surfaces, Embedded minimal surfaces of finite topology, Distortions of the helicoid, Generalizations of the Choe-Hoppe helicoid and Clifford cones in Euclidean space, Properly embedded minimal planar domains, Regularity of the singular set in the Colding-Minicozzi lamination theorem, The geometry of minimal surfaces of finite genus. II: Nonexistence of one limit end examples, The minimal lamination closure theorem, Hyperbolic manifolds containing high topological index surfaces, Helicoid-like minimal disks and uniqueness, Curvature estimates for constant mean curvature surfaces, On the topology of surfaces with the generalised simple lift property, Non-proper helicoid-like limits of closed minimal surfaces in 3-manifolds, Limit lamination theorem for H-disks, The embedded Calabi-Yau conjecture for finite genus, Extending an example by Colding and Minicozzi, The classical theory of minimal surfaces, The rigidity of embedded constant mean curvature surfaces, Curvature estimates for surfaces with bounded mean curvature, Multi-valued graphs in embedded constant mean curvature disks, Second order estimate on transition layers