Screw motion invariant minimal surfaces from gluing helicoids

DOI10.1007/s10711-023-00774-2OpenAlexW3212805396MaRDI QIDQ2686981

Daniel Freese

Publication date: 1 March 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.03909

zbMATH Keywords

implicit function theoremWeierstrass dataminimalhelicoidscrew motionnoded surface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differentials on Riemann surfaces (30F30)

Cites Work

• Unnamed Item
• Helicoidal minimal surfaces of prescribed genus
• Embedded minimal surfaces derived from Scherk's examples
• The geometry of periodic minimal surfaces
• An embedded minimal surface with no symmetries
• Nonexistence of certain complete minimal surfaces with planar ends
• An embedded genus-one helicoid
• Hermite polynomials and helicoidal minimal surfaces
• Vortices and polynomials
• A Family of Singly Periodic Minimal Surfaces Invariant under a Screw Motion

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