ON EXTRINSICALLY SYMMETRIC HYPERSURFACES OF ℍn×ℝ

DOI10.1017/S0004972710001760zbMath1217.53051OpenAlexW1993411645WikidataQ126194561 ScholiaQ126194561MaRDI QIDQ3065419

Giovanni Calvaruso, Joeri Van der Veken, Daniel Kowalczyk

Publication date: 5 January 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972710001760

zbMATH Keywords

hypersurfaceparallelsemi-paralleltotaly umbilical

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (9)

Intrinsic and extrinsic geometry of hypersurfaces in \(\mathbb {S}^n \times \mathbb {R}\) and \(\mathbb {H}^n \times \mathbb {R}\) ⋮ Biharmonic hypersurfaces in a product space Lm×R ⋮ Classification of semi-parallel hypersurfaces of the product of two spheres ⋮ A classification of pseudo-parallel hypersurfaces of \(\mathbb{S}^n \times \mathbb{R}\) and \(\mathbb{H}^n \times \mathbb{R}\) ⋮ Unnamed Item ⋮ Einstein hypersurfaces of \(\mathbb{S}^n\times\mathbb{R}\) and \(\mathbb{H}^n\times\mathbb{R}\) ⋮ Totally umbilical hypersurfaces of manifolds admitting a unit Killing field ⋮ Pseudo-parallel surfaces of \(\mathbb{S}_c^n \times \mathbb{R}\) and \(\mathbb{H}_c^n \times \mathbb{R}\) ⋮ Totally umbilical hypersurfaces of product spaces

Cites Work

• Parallel and semi-parallel hypersurfaces of \(\mathbb{S}^n \times \mathbb R\)
• Higher order parallel surfaces in Bianchi-Cartan-Vranceanu spaces
• Totally umbilic surfaces in homogeneous 3-manifolds
• Semi-parallel hypersurfaces of a real space form
• Local rigidity theorems for minimal hypersurfaces
• Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces

This page was built for publication: ON EXTRINSICALLY SYMMETRIC HYPERSURFACES OF ℍⁿ×ℝ