Holomorphic helices in a complex space form

DOI10.1090/S0002-9939-97-03627-7zbMath0876.53045OpenAlexW1561443892MaRDI QIDQ3127304

Sadahiro Maeda, Toshiaki Adachi

Publication date: 8 April 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03627-7

zbMATH Keywords

complex space formcomplex torsionholomorphic helix

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (13)

\(J\)-trajectories in Vaisman manifolds ⋮ The \(^{*}\)-Ricci tensor for hypersurfaces in \(\mathbb{C}\mathbb{P}^n\) and \(\mathbb{C}\mathrm{H}^n\) ⋮ Moderate Killing helices of proper order four on a complex projective space ⋮ Quantization coefficients in infinite systems ⋮ Real hypersurfaces foliated by totally real totally geodesic submanifolds ⋮ J-trajectories in Locally Conformal Kahler Manifolds with Parallel Anti Lee Field ⋮ Geodesics on real hypersurfaces of type \(A_{2}\) in a complex space form ⋮ Holomorphic helix of proper order 3 on a complex hyperbolic plane ⋮ Biharmonic submanifolds of \({\mathbb{C}\mathbb{P}^n}\) ⋮ Geometric properties of Lie hypersurfaces in a complex hyperbolic space ⋮ Essential Killing helices of order less than five on a non-flat complex space form ⋮ Surfaces with parallel mean curvature in ℂℙⁿ×ℝ and ℂℍⁿ×ℝ ⋮ Surfaces with parallel mean curvature in Sasakian space forms

Cites Work

• Helical geodesic immersions into complex space forms
• Submanifolds in Euclidean space with simple geodesics
• Isometric immersions of manifolds with plane geodesics into Euclidean space

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