Helicoidal flat surfaces in the 3‐sphere
From MaRDI portal
Publication:4628344
DOI10.1002/mana.201700254zbMath1484.53100arXiv1601.04930OpenAlexW2963891259WikidataQ129404847 ScholiaQ129404847MaRDI QIDQ4628344
Fernando Manfio, João Paulo Dos Santos
Publication date: 20 March 2019
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.04930
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local Riemannian geometry (53B20)
Related Items (2)
Helicoidal hypersurfaces and graphs in conformally flat spaces ⋮ A variational characterization of profile curves of invariant linear Weingarten surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The symmetry group of Lamé's system and the associated Guichard nets for conformally flat hypersurfaces
- Helicoidal flat surfaces in hyperbolic 3-space
- Helix surfaces in the Berger sphere
- A D'Alembert formula for flat surfaces in the 3-sphere
- Periodicity of the asymptotic curves on flat tori in \(S^ 3\)
- Helicoidal surfaces with constant mean curvature
- Helicoidal surfaces with prescribed mean or Gaussian curvature
- Flat fronts in hyperbolic 3-space
- On conformally flat hypersurfaces and Guichard's nets
- Rotating drops with helicoidal symmetry
- Constant mean curvature, flux conservation, and symmetry
- Helicoidal minimal surfaces in \(\mathbb{R}^{3}\)
- Flat Tori in S 3 and Their Gauss Maps
- Submanifolds with Constant Mean Curvature II
- Uniqueness of Minimal Rotational Surfaces in S 3
This page was built for publication: Helicoidal flat surfaces in the 3‐sphere