A characterization of the homogeneous ruled real hypersurface in a complex hyperbolic space in terms of the first curvature of some integral curves

DOI10.1007/S00013-015-0839-1zbMath1329.53032OpenAlexW2179043049MaRDI QIDQ896044

Sadahiro Maeda, Hiromasa Tanabe

Publication date: 11 December 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-015-0839-1

zbMATH Keywords

ruled real hypersurfacescharacteristic vector fieldcomplex hyperbolic spacesthe first curvature of integral curvesthe homogeneous ruled real hypersurface

Mathematics Subject Classification ID

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

Related Items (4)

A characterization of ruled hypersurfaces in complex space forms in terms of the Lie derivative of shape operator ⋮ Unnamed Item ⋮ The homogeneous ruled real hypersurface in a complex hyperbolic space ⋮ Geometric properties of Lie hypersurfaces in a complex hyperbolic space

Cites Work

• Unnamed Item
• Integral curves of characteristic vector fields of real hypersurfaces in nonflat complex space forms
• A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space
• Homogeneous hypersurfaces in complex hyperbolic spaces
• On ruled real hypersurfaces in complex space forms
• Global behaviours of circles in a complex hyperbolic space
• Congruence classes of minimal ruled real hypersurfaces in a nonflat complex space form
• Cohomogeneity one actions on noncompact symmetric spaces of rank one
• Real hypersurfaces with constant principal curvatures in complex hyperbolic space.

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