A characterisation of Helices and Cornu spirals in real space forms

DOI10.1017/S0004972700030719zbMath0886.53039OpenAlexW2111324388WikidataQ126018703 ScholiaQ126018703MaRDI QIDQ4363839

Manuel Barros, Óscar J. Garay, Josu Arroyo

Publication date: 23 April 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700030719

zbMATH Keywords

mean curvatureLaplaciangeneral helixCornu spiralHopf cylinder

Mathematics Subject Classification ID

Global submanifolds (53C40) Curves in Euclidean and related spaces (53A04)

Related Items (12)

General helices with timelike slope axis in Minkowski 3-space ⋮ Almost contact curves in normal almost contact 3-manifolds ⋮ Slant helices in three dimensional Lie groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Laplacians and Legendre surfaces in pseudo-Hermitian geometry ⋮ General helices with spacelike slope axis in Minkowski 3-space ⋮ Formation of Singularities and Self-Similar Vortex Motion Under the Localized Induction Approximation† ⋮ New results for general helix in Euclidean 3-space ⋮ General helices with lightlike slope axis ⋮ On C-parallel legendre curves in non-Sasakian contact metric manifolds ⋮ C-parallel and C-proper slant curves of S-manifolds

Cites Work

• Unnamed Item
• Hopf tori in \(S^ 3\)
• Submanifolds in de Sitter space-time satisfying \(\Delta H = \lambda H\)
• Minimal varieties in Riemannian manifolds
• Hypersurfaces in E⁴ with Harmonic Mean Curvature Vector Field
• On Submanifolds with Harmonic Mean Curvature

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