Higher codimensional Euclidean helix submanifolds

DOI10.2996/KMJ/1278076336zbMath1211.53008OpenAlexW2051851179MaRDI QIDQ988512

Gabriel Ruiz-Hernández, Antonio Jose Di Scala

Publication date: 17 August 2010

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1278076336

zbMATH Keywords

geodesicminimal submanifoldeikonal equationhigher codimensionhelix submanifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Local submanifolds (53B25)

Related Items (16)

Minimal helix submanifolds and minimal Riemannian foliations ⋮ On surfaces endowed with canonical principal direction in Euclidean spaces ⋮ Constant angle surfaces in the Lorentzian Heisenberg group ⋮ Constant angle surfaces in Lorentzian Berger spheres ⋮ Surfaces in \({\mathbb{R}^4}\) with constant principal angles with respect to a plane ⋮ Minimal helix surfaces in \(N^{n}\times \mathbb R\) ⋮ Unnamed Item ⋮ Helix surfaces in the Berger sphere ⋮ Hypersurfaces with a canonical principal direction ⋮ Constant angle surfaces in the Lorentzian warped product manifold \(-I \times_f \mathbb{E}^2\) ⋮ Eikonal helices and harmonic curvatures in Riemannian manifolds ⋮ Helix surfaces in the special linear group ⋮ Helix surfaces in Euclidean spaces ⋮ Eikonal slant helices and Eikonal Darboux helices in 3-dimensional Riemannian manifold ⋮ Lagrangian surfaces of constant angle in the complex Euclidean plane ⋮ On Weakr-Helix Submanifolds

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