CMC-1 surfaces in hyperbolic and de Sitter spaces with Cantor ends (Q6591079)

scientific article; zbMATH DE number 7900011

Language	Label	Description	Also known as
English	CMC-1 surfaces in hyperbolic and de Sitter spaces with Cantor ends	scientific article; zbMATH DE number 7900011

Statements

instance of

scholarly article

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title

CMC-1 surfaces in hyperbolic and de Sitter spaces with Cantor ends (English)

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author

Ildefonso Castro-Infantes

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Jorge Hidalgo

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published in

Mediterranean Journal of Mathematics

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publication date

21 August 2024

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zbMATH Keywords

CMC-1 surface

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CMC-1 face

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Riemann surface

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Cantor set

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holomorphic null curve

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MaRDI profile type

Publication

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cites work

Kenmotsu-Bryant type representation formulas for constant mean curvature surfaces in $\mathbb{H}^3 (-c^2)$ and $\mathbb{S}_1^3 (c^2)$

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On spacelike hypersurfaces with constant mean curvature in the de Sitter space

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Interpolation by conformal minimal surfaces and directed holomorphic curves

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Null curves and directed immersions of open Riemann surfaces

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

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

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Embedded complex curves in the affine plane

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Minimal Surfaces from a Complex Analytic Viewpoint

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

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Null curves in ${\mathbb{C}^3}$ and Calabi-Yau conjectures

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Q3774501

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Proper holomorphic embeddings of complements of large Cantor sets in $\mathbb{C}^2$

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Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan

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The Calabi-Yau problem for minimal surfaces with Cantor ends

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Bordered Riemann surfaces in $\mathbb C^2$

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Spacelike CMC 1 surfaces with elliptic ends in de Sitter 3-space

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SPACELIKE MEAN CURVATURE 1 SURFACES OF GENUS 1 WITH TWO ENDS IN DE SITTER 3-SPACE

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Hyperbolic Metrics on Riemann Surfaces and Space-Like CMC-1 Surfaces in de Sitter 3-Space

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Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space

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Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space

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New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space

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Spacelike mean curvature one surfaces in de Sitter 3-space

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Ueber die Bedingungen, unter welchen eine Gleichung nur Wurzeln mit negativen reellen Teilen besitzt.

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Spacelike constant mean curvature 1 trinoids in de Sitter three-space

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Complete bounded null curves immersed in $\mathbb C^3$ and $\mathrm{SL}(2,\mathbb C)$

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A generalization of a completeness lemma in minimal surface theory

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Proper analytic embedding of $ \mathbb{CP}^1$ minus a Cantor set into $ \mathbb C^2$

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Bounded Holomorphic Functions on Finite Riemann Surfaces

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Applications of a completeness lemma in minimal surface theory to various classes of surfaces

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Applications of a completeness lemma in minimal surface theory to various classes of surfaces

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BJÖRLING FORMULA FOR MEAN CURVATURE ONE SURFACES IN HYPERBOLIC THREE-SPACE AND IN DE SITTER THREE-SPACE

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The value distribution of the hyperbolic Gauss map

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Identifiers

zbMATH Open document ID

1543.53007

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DOI

10.1007/s00009-024-02707-z

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6591079