COMPLETE REAL HYPERSURFACES AND SPECIAL 𝕂-LINE BUNDLES IN 𝕂-HYPERBOLIC SPACES

DOI10.1142/S0129167X13500821zbMath1288.53047OpenAlexW2108056277MaRDI QIDQ2863012

Nobuhiro Innami, Katsuhiro Shiohama, Yoe Itokawa

Publication date: 20 November 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x13500821

zbMATH Keywords

hypersurfacehyperbolic spacetotally geodesic foliationgeometry of geodesic

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

The constancy of principal curvatures of curvature-adapted submanifolds in symmetric spaces

Cites Work

• Peakless and monotone functions on G-spaces
• Metric spheres in the projective spaces with constant holomorphic sectional curvature
• Real hypersurfaces of a complex hyperbolic space
• Homogeneous hypersurfaces in complex hyperbolic spaces
• On the Ricci tensor of a real hypersurface of quaternionic hyperbolic space
• Quaternionic distribution of curvature-adapted real hypersurfaces in a quaternionic hyperbolic space
• Visibility manifolds
• REAL HYPERSURFACES WITH CONSTANT PRINCIPAL CURVATURES IN COMPLEX HYPERBOLIC SPACES
• Cohomogeneity one actions on noncompact symmetric spaces of rank one
• Real hypersurfaces with constant principal curvatures in the complex hyperbolic plane

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