Helicoids in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times \mathbb R\)

DOI10.2140/PJM.2009.242.281zbMath1172.53037OpenAlexW2065989635WikidataQ125619180 ScholiaQ125619180MaRDI QIDQ731183

Heayong Shin, Sung-Eun Koh, Young Wook Kim, Seong-Deog Yang

Publication date: 2 October 2009

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://pjm.math.berkeley.edu/pjm/2009/242-2/p04.xhtml

zbMATH Keywords

minimal surfaceruled surfacehelicoidspace-like maximal surface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)

Related Items (9)

Double CMC surfaces in Euclidean and hyperbolic spaces ⋮ HELICOIDAL MINIMAL SURFACES IN ℍ²×ℝ ⋮ Unnamed Item ⋮ Minimal rotational surfaces in the product space ℚ𝜀2 × 𝕊1 ⋮ Critical points of the solutions to the \(H_R =H_L\) surface equation ⋮ Four classes of surfaces with constant mean curvature in \(S^3\times\mathbb R\) and \(H^3\times\mathbb R\) ⋮ Helicoids and catenoids in \(M\times \mathbb{R} \) ⋮ A new approach to minimal and maximal hypersurfaces in product spaces ⋮ Ruled minimal surfaces in the Berger sphere

This page was built for publication: Helicoids in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times \mathbb R\)