Surfaces with one constant principal curvature in three-dimensional space forms

DOI10.1007/s13366-014-0215-5zbMath1327.53074arXiv1307.6735OpenAlexW2054306617WikidataQ125307719 ScholiaQ125307719MaRDI QIDQ747582

Henri Anciaux

Publication date: 16 October 2015

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6735

zbMATH Keywords

pseudo-Riemannian space formsconstant principal curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

• Real hypersurfaces of a complex hyperbolic space
• Hopf hypersurfaces of small Hopf principal curvature in \({\mathbb{C}{\text H}^2}\)
• A characterization of a standard torus in \(E^ 3\)
• On the three-dimensional Blaschke-Lebesgue problem
• Focal Sets and Real Hypersurfaces in Complexes Projective Space
• Complete surfaces in the hyperbolic space with a constant principal curvature
• Spaces of geodesics of pseudo-Riemannian space forms and normal congruences of hypersurfaces

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