A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space

DOI10.2969/JMSJ/06110315zbMath1159.53012OpenAlexW2067267622MaRDI QIDQ1006190

Sadahiro Maeda, Young Ho Kim, Toshiaki Adachi

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.2969/jmsj/06110315

zbMATH Keywords

geodesicsreal hypersurfacescomplex hyperbolic spaceshomogeneous ruled real hypersurfaceshorocycle-circlesintegral curves of the characteristic vector fieldreal hyperbolic planestotally geodesic complex hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (6)

A characterization of the homogeneous ruled real hypersurface in a complex hyperbolic space in terms of the first curvature of some integral curves ⋮ Gradient pseudo‐Ricci solitons of real hypersurfaces ⋮ Three real hypersurfaces some of whose geodesics are mapped to circles with the same curvature in a nonflat complex space form ⋮ Geometric properties of Lie hypersurfaces in a complex hyperbolic space ⋮ New construction of ruled real hypersurfaces in a complex hyperbolic space and its applications ⋮ Real hypersurfaces in a nonflat complex space form whose certain tensor is recurrent

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