The homogeneous ruled real hypersurface in a complex hyperbolic space

DOI10.1007/S00022-018-0421-7zbMath1391.53020OpenAlexW2789960673MaRDI QIDQ1754401

Sadahiro Maeda, Hiromasa Tanabe, Makoto Kimura

Publication date: 30 May 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-018-0421-7

zbMATH Keywords

constant mean curvaturecomplex hyperbolic spacefirst curvature functionhomogeneous ruled real hypersurfaceintegral curves of the vector field \(U\)

Mathematics Subject Classification ID

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

Related Items (1)

Ruled hypersurfaces with constant mean curvature in complex space forms

Cites Work

• A characterization of the homogeneous ruled real hypersurface in a complex hyperbolic space in terms of the first curvature of some integral curves
• Sectional curvatures of holomorphic planes on a real hypersurface in \(P^ n({\mathbb{C}})\)
• Real hypersurfaces in a complex projective space with constant principal curvatures. II
• On ruled real hypersurfaces in complex space forms
• On homogeneous real hypersurfaces in a complex projective space
• Curvature properties of homogeneous real hypersurfaces in nonflat complex space forms
• Congruence classes of minimal ruled real hypersurfaces in a nonflat complex space form
• Cohomogeneity one actions on noncompact symmetric spaces of rank one

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