Surfaces in a pseudo-Euclidean space with planar normal sections

DOI10.1007/BF01222268zbMath0678.53050OpenAlexW2036866380MaRDI QIDQ1124137

Young Ho Kim

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01222268

zbMATH Keywords

classificationparallel mean curvature vectorpseudo-Euclidean spaceplanar normal sections

Mathematics Subject Classification ID

Global submanifolds (53C40) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Minimal surfaces of pseudo-Euclidean spaces with geodesic normal sections ⋮ Lightlike Hypersurfaces with Planar Normal Sections in $\mathbb{R}^4_1$ ⋮ Normal Section Curves and Curvatures ⋮ Pointwise planar horizontal sections along Riemannian submersions

Cites Work

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• Submanifolds with geodesic normal sections
• Classification of surfaces with planar normal sections
• On submanifolds with planar normal sections
• Immersions with circular normal sections and normal sections of product immersions
• Isotropic submanifolds with pointwise planar normal sections
• Differential geometry of submanifolds with planar normal sections
• Manifolds with planar geodesics
• Planar geodesic immersions
• Isometric immersions of manifolds with plane geodesics into Euclidean space
• Reduction of the codimension of an isometric immersion
• Isotropic and Kähler Immersions

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