Intrinsic and extrinsic geometry of hypersurfaces in \(\mathbb {S}^n \times \mathbb {R}\) and \(\mathbb {H}^n \times \mathbb {R}\)
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Publication:1685554
DOI10.1007/S00022-017-0399-6zbMath1379.53021arXiv1704.04702OpenAlexW2750961242WikidataQ125565093 ScholiaQ125565093MaRDI QIDQ1685554
Rafael Novais, João Paulo Dos Santos
Publication date: 14 December 2017
Published in: Journal of Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.04702
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)
Related Items (2)
Graph Surfaces Invariant by Parabolic screw Motions with Constant Curvature in $ \: \mathbb H^2 \times \mathbb R$ ⋮ Einstein hypersurfaces of \(\mathbb{S}^n\times\mathbb{R}\) and \(\mathbb{H}^n\times\mathbb{R}\)
Cites Work
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- Ricci solitons on locally conformally flat hypersurfaces in space forms
- On a class of hypersurfaces in \(\mathbb{S}^n\times\mathbb{R}\) and \(\mathbb{H}^n\times\mathbb{R}\)
- Canonical coordinates and principal directions for surfaces in \(\mathbb H^2 \times \mathbb R\)
- Hypersurfaces with a canonical principal direction
- Parallel and semi-parallel hypersurfaces of \(\mathbb{S}^n \times \mathbb R\)
- Complete surfaces of constant curvature in \(H^{2} \times \mathbb R\) and \(S^{2} \times \mathbb R\)
- Conformally flat hypersurfaces in a conformally flat Riemannian manifold
- Hypersurfaces with constant sectional curvature of \(\mathbb S^n\times\mathbb R\) and \(\mathbb H^n\times\mathbb R\)
- Rigidity of gradient Ricci solitons
- Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\)
- Surfaces in \({\mathbb{S}^2\times\mathbb{R}}\) with a canonical principal direction
- Homogeneous Ricci almost solitons
- Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\)
- Surfaces with constant curvature in \(S^{2}\times \mathbb R\) and \(H^{2}\times \mathbb R\). Height estimates and representation
- ON EXTRINSICALLY SYMMETRIC HYPERSURFACES OF ℍn×ℝ
- Recent Progress on Ricci Solitons
- On gradient Ricci solitons with symmetry
- Rotation Hypersurfaces in Spaces of Constant Curvature
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