Reduction of the codimension of regular isometric immersions

DOI10.1007/BF01214317zbMath0458.57019MaRDI QIDQ1151642

Marcos Dajczer

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173143

zbMATH Keywords

Veronese surfaceisometric immersions into manifolds of constant sectional curvaturereduction of the codimension of regular isometric immersions

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Immersions in differential topology (57R42)

Related Items (3)

Submanifolds with parallel mean curvature vector in spheres ⋮ Minimal submanifolds in \(\mathbb{S}^{p-3}\) with constant scalar curvature ⋮ Submanifolds of constant sectional curvature with parallel or constant mean curvature

Cites Work

• Unnamed Item
• Immersions of surfaces into 4-dimensional spaces with nonzero normal curvature
• On compact minimal surfaces with non-negative Gaussian curvature in a space of constant curvature. II
• On singularities of submanifolds of higher dimensional Euclidean spaces
• Complete minimal surfaces in \(S^ 3\)
• Reduction of the codimension of an isometric immersion
• Isometric immersions of space forms in space forms
• Isometric imbedding of Riemann manifolds in a Riemann manifold
• Submanifolds with Constant Mean Curvature
• Submanifolds with Constant Mean Curvature II
• Minimal surfaces in $4$-dimensional Riemannian manifolds of constant curvature
• Integral formulas for submanifolds and their applications

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