Embedded minimal ends of finite type

DOI10.1090/S0002-9947-00-02640-4zbMath0986.53005OpenAlexW1904674807MaRDI QIDQ2701660

Joaquín Pérez, Laurent Hauswirth, Pascal Romon

Publication date: 19 February 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02640-4

zbMATH Keywords

minimal surfaceWeierstrass representationfinite typehelicoid

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Stationary isothermic surfaces in Euclidean 3-space, Singly-periodic improper affine spheres., Symmetry of embedded genus 1 helicoids, Embedded minimal surfaces of finite topology, Triply periodic minimal surfaces which converge to the Hoffman–Wohlgemuth example, The classical theory of minimal surfaces, Bryant surfaces in \(\mathbb H^3\) of finite type.

Cites Work

• Topology and curvature of minimal surfaces properly embedded in \(\mathbb{R}^ 3\)
• Some remarks on complete simply connected minimal surfaces meeting the planes \(x_3=\) constant transversally
• The geometry of periodic minimal surfaces
• Simply connected minimal surfaces in \(\mathbb{R}^3\) transverse to horizontal planes
• Minimal surfaces in \(\mathbb{R}^3\) with one end and bounded curvature
• On helicoidal ends of minimal surfaces
• Embedded minimal ends asymptotic to the helicoid
• Minimal surfaces of finite type
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