Differential geometry of submanifolds with planar normal sections

DOI10.1007/BF01761488zbMath0486.53004WikidataQ115393200 ScholiaQ115393200MaRDI QIDQ1164850

Bang-Yen Chen

Publication date: 1982

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

submanifoldparallel second fundamental formplanar normal section

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Related Items (19)

Planar normal sections on the natural imbedding of a flag manifold ⋮ Submanifolds and their \(k\)-planar number ⋮ Surfaces in a pseudo-Euclidean space with planar normal sections ⋮ On some properties which characterize symmetric and general \(R\)-spaces ⋮ Product submanifolds with pointwise 3-planar normal sections ⋮ Almost contact curves in normal almost contact 3-manifolds ⋮ Surfaces with high contact number and their characterization ⋮ Ric-semisymmetric submanifolds ⋮ Affine planar geodesic immersions with maximal codimension ⋮ Divisibility of multilinear mappings with applications to affine differential geometry ⋮ Normal Section Curves and Curvatures ⋮ Submanifolds with geodesic normal sections ⋮ Classification of surfaces with planar normal sections ⋮ Helical immersions and normal sections ⋮ Surfaces of a Euclidean space with helical or planar geodesics through a point ⋮ Semi-parallel surfaces in Euclidean space ⋮ Classification of surfaces with pointwise planar normal sections and its application to Fomenko's conjecture ⋮ Pointwise planar horizontal sections along Riemannian submersions ⋮ Isotropic submanifolds with pointwise planar normal sections

Cites Work

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• Reduction of the codimension of an isometric immersion
• Minimal Surfaces with Constant Gauss Curvature

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