NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY (Q5379025)

scientific article; zbMATH DE number 7059678

Language	Label	Description	Also known as
English	NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY	scientific article; zbMATH DE number 7059678

Statements

instance of

scholarly article

0 references

title

NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY (English)

0 references

0 references

0 references

Journal of the Australian Mathematical Society

0 references

publication date

27 May 2019

0 references

full work available at URL

https://arxiv.org/abs/1711.08024

0 references

zbMATH Keywords

minimal surface

0 references

Riemann surface

0 references

Oka manifold

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Transversality in manifolds of mappings

0 references

Q5512337

0 references

Complete complex hypersurfaces in the ball come in foliations

0 references

Interpolation by conformal minimal surfaces and directed holomorphic curves

0 references

Complete minimal surfaces densely lying in arbitrary domains of $\mathbb{R}^n$

0 references

Every bordered Riemann surface is a complete conformal minimal surface bounded by Jordan curves: Figure. 5.1.

0 references

Minimal surfaces in minimally convex domains

0 references

Complete minimal surfaces in $\mathbb R^3$ with a prescribed coordinate function

0 references

Complete minimal surfaces and harmonic functions

0 references

Harmonic mappings and conformal minimal immersions of Riemann surfaces into $\mathbb R^{\mathrm N}$

0 references

Every bordered Riemann surface is a complete proper curve in a ball

0 references

Every conformal minimal surface in $\mathbb{R}^3$ is isotopic to the real part of a holomorphic null curve

0 references

Null curves and directed immersions of open Riemann surfaces

0 references

The Calabi-Yau problem, null curves, and Bryant surfaces

0 references

Null Holomorphic Curves in $$\mathbb{C}^{3}$$ and Applications to the Conformal Calabi-Yau Problem

0 references

Darboux Charts Around Holomorphic Legendrian Curves and Applications

0 references

Embedded minimal surfaces in $\mathbb R^n$

0 references

New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in ℝⁿ

0 references

Holomorphic Legendrian curves

0 references

Representing de Rham cohomology classes on an open Riemann surface by holomorphic forms

0 references

Minimal surfaces in $\mathbb{R}^3$ properly projecting into $\mathbb{R}^2$

0 references

Properness of associated minimal surfaces

0 references

Approximation theory for nonorientable minimal surfaces and applications

0 references

Complete bounded embedded complex curves in $\mathbb {C}^2$

0 references

On the Size of a Stable Minimal Surface in R 3

0 references

Q3360475

0 references

Q4933812

0 references

Q2748502

0 references

The Calabi-Yau conjectures for embedded surfaces

0 references

Q3168885

0 references

Topology and curvature of minimal surfaces properly embedded in $\mathbb{R}^ 3$

0 references

The topological, geometry and conformal structure of properly embedded minimal surfaces

0 references

Q4023644

0 references

Q4091004

0 references

Q3003641

0 references

A domain in $\mathbb{C}^ m$ not containing any proper image of the unit disc

0 references

Holomorphic curves in complex spaces

0 references

The Poletsky-Rosay theorem on singular complex spaces

0 references

Minimal hulls of compact sets in $\mathbb {R}^3$

0 references

Q4002564

0 references

Existence of proper minimal surfaces of arbitrary topological type

0 references

Q5795249

0 references

Plongements des variétés de Stein

0 references

Q3931657

0 references

Manifolds of holomorphic mappings from strongly pseudoconvex domains

0 references

Oka manifolds: from Oka to Stein and back

0 references

Proper holomorphic embeddings into Stein manifolds with the density property

0 references

Stein Manifolds and Holomorphic Mappings

0 references

Proper holomorphic discs in $\mathbb{C}^2$

0 references

Survey of Oka theory

0 references

The parametric $h$-principle for minimal surfaces in $\mathbb{R}^n$ and null curves in $\mathbb{C}^n$

0 references

Bordered Riemann surfaces in $\mathbb C^2$

0 references

Embeddings of infinitely connected planar domains into $\mathbb C^2$

0 references

On the Gauss map of a complete minimal surface in $R^ m$.

0 references

On the number of exceptional values of the Gauss map of minimal surfaces

0 references

Modified defect relations for the Gauss map of minimal surfaces. II

0 references

A complete complex hypersurface in the ball of $\mathbb{C}^N$

0 references

Holomorphe Funktionen mit Werten in komplexen Lieschen Gruppen

0 references

Analytische Faserungen über holomorph-vollständigen Räumen

0 references

Q3994680

0 references

Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

0 references

Partial Differential Relations

0 references

Oka's Principle for Holomorphic Sections of Elliptic Bundles

0 references

Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems

0 references

CONVEX INTEGRATION OF DIFFERENTIAL RELATIONS. I

0 references

Q3184975

0 references

The strong halfspace theorem for minimal surfaces

0 references

The geometry of the generalized Gauss map

0 references

Q3995750

0 references

A Complete Bounded Complex Submanifold of C 3

0 references

A complete minimal surface in $R^ 3$ between two parallel planes

0 references

Q5512162

0 references

Exotic minimal surfaces

0 references

Uniform approximation by complete minimal surfaces of finite total curvature in ℝ³

0 references

Parabolicity and Gauss map of minimal surfaces

0 references

On embedded complete minimal surfaces of genus zero

0 references

Bounded domains which are universal for minimal surfaces

0 references

On the asymptotic behavior of a complete bounded minimal surface in ℝ³

0 references

Complete proper minimal surfaces in convex bodies of $\mathbb R^3$

0 references

Complete proper minimal surfaces in convex bodies of $\mathbb R^3$. II: The behavior of the limit set

0 references

The classification of complete minimal surfaces in $R^ 3$ with total curvature greater than -8pi

0 references

Q3160538

0 references

Q4904448

0 references

The embedded Calabi-Yau conjecture for finite genus

0 references

Properly embedded minimal planar domains

0 references

The uniqueness of the helicoid

0 references

On the existence of a proper minimal surface in $\mathbb R^3$ with a conformal type of disk

0 references

Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces

0 references

$C^1$ isometric imbeddings

0 references

The imbedding problem for Riemannian manifolds

0 references

Q4693037

0 references

Global properties of minimal surfaces in $E^ 3$ and $E^ n$

0 references

Q3906730

0 references

Q5611582

0 references

An estimate for the Gauss curvature of minimal surfaces in $\mathbf R^m$ whose Gauss map omits a set of hyperplanes

0 references

A New Golden Age of Minimal Surfaces

0 references

Q3150760

0 references

On the Gauss map of minimal surfaces immersed in $R^ n$

0 references

Q4847232

0 references

Convex integration theory. Solutions to the $h$-principle in geometry and topology

0 references

Bounded Holomorphic Functions on Finite Riemann Surfaces

0 references

Eine Determinantenidentität und ihre Anwendung auf analytische Gebilde in euklidischer und Hermitescher Maßbestimmung

0 references

Q4127019

0 references

Q4501792

0 references

Identifiers

zbMATH Open document ID

1414.53007

0 references

DOI

10.1017/S1446788718000125

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5379025