Helix surfaces in the Berger sphere

DOI10.1007/S11856-014-1055-6zbMath1314.53011arXiv1206.1274OpenAlexW2137694835MaRDI QIDQ466114

Stefano Montaldo, Irene Ignazia Onnis

Publication date: 24 October 2014

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

Full work available at URL: https://arxiv.org/abs/1206.1274

zbMATH Keywords

Hopf vector fieldhelix surfaceBerger sphere

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items (12)

Constant angle surfaces in the Lorentzian warped product manifold $I \times_{f} \mathbb E^2_1$ ⋮ New developments on constant angle property in \({\mathbb {S}}^2\times {\mathbb {R}}\) ⋮ Helicoidal hypersurfaces and graphs in conformally flat spaces ⋮ Helix surfaces and slant helices in the three-dimensional anti-de Sitter space ⋮ Rotationally invariant constant Gauss curvature surfaces in Berger spheres ⋮ Constant angle surfaces in the Lorentzian Heisenberg group ⋮ Constant angle surfaces in Lorentzian Berger spheres ⋮ Unnamed Item ⋮ Helicoidal flat surfaces in the 3‐sphere ⋮ Constant angle surfaces in the Lorentzian warped product manifold \(-I \times_f \mathbb{E}^2\) ⋮ Helix surfaces in the special linear group ⋮ A new approach on constant angle surfaces in the special linear group

Cites Work

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• Constant angle surfaces in the Heisenberg group
• Minimal helix surfaces in \(N^{n}\times \mathbb R\)
• Compact minimal surfaces in the Berger spheres
• Isometric immersions into 3-dimensional homogeneous manifolds
• Higher codimensional Euclidean helix submanifolds
• Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\)
• Helix submanifolds of Euclidean spaces
• Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\)
• ON THE GEOMETRY OF CONSTANT ANGLE SURFACES IN Sol3

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