Hypersurfaces with a parallel higher fundamental form
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Publication:742518
DOI10.1007/s00022-013-0203-1zbMath1297.53019OpenAlexW1973331911MaRDI QIDQ742518
Publication date: 18 September 2014
Published in: Journal of Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00022-013-0203-1
second fundamental formshape operatorparallel hypersurfaceBianchi-Cartan-Vranceanu spacethree-dimensional homogeneous space
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Constant mean curvature isometric immersions into \(\mathbb{S}^2\times\mathbb{R}\) and \(\mathbb{H}^2\times\mathbb{R}\) and related results ⋮ Isoparametric surfaces in $E(\kappa,\tau)$-spaces
Cites Work
- Constant angle surfaces in the Heisenberg group
- Complete constant mean curvature surfaces in homogeneous spaces
- Grassmann geometry on the 3-dimensional unimodular Lie groups. I
- Isometric immersions into 3-dimensional homogeneous manifolds
- Higher order parallel surfaces in Bianchi-Cartan-Vranceanu spaces
- The classification of hypersurfaces of a Euclidean space with parallel higher order fundamental form
- Symmetric submanifolds of Euclidean space
- On symmetric submanifolds of spaces of constant curvature
- The third fundamental form metric for hypersurfaces in nonflat space forms
- Invariant surfaces of the Heisenberg groups
- Immersions with parallel second fundamental form
- Total bending of vector fields on Riemannian manifolds
- Higher order parallel submanifolds of a complex space form
- On the Three-Dimensional Homogenous SO(2)-Isotropic Riemannian Manifolds
- A characterization of locally homogeneous Riemann manifolds of dimension 3
- A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ1= ρ2≠ ρ3
- Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3
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