CMC hypersurfaces with canonical principal direction in space forms
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Publication:2965306
DOI10.1002/MANA.201500242zbMath1380.53058OpenAlexW2516802282MaRDI QIDQ2965306
Gabriel Ruiz-Hernández, Antonio Jose Di Scala
Publication date: 2 March 2017
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.201500242
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)
Related Items (3)
Timelike surfaces in \(N \times \mathbb{R}\) with a canonical null direction ⋮ Geometry of submanifolds with respect to ambient vector fields ⋮ Semi Riemannian hypersurfaces with a canonical principal direction
Cites Work
- Complete classification of surfaces with a canonical principal direction in the Euclidean space \(\mathbb{E}^{3}\)
- On a class of hypersurfaces in \(\mathbb{S}^n\times\mathbb{R}\) and \(\mathbb{H}^n\times\mathbb{R}\)
- Hypersurfaces with a canonical principal direction
- A generalization of a theorem of Delaunay
- Embedded constant mean curvature tori in the three-sphere
- Surfaces in \({\mathbb{S}^2\times\mathbb{R}}\) with a canonical principal direction
- Helix submanifolds of Euclidean spaces
- Rotation Hypersurfaces in Spaces of Constant Curvature
- Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
- A note on spacelike surfaces in Minkowski 3-space
- On integral inequalities related with a certain nonlinear differential equation
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