Immersions of surfaces into 4-dimensional spaces with nonzero normal curvature

DOI10.1007/BF01789417zbMath0453.53045MaRDI QIDQ1149132

Antonio Carlos Asperti

Publication date: 1980

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

zbMATH Keywords

normal curvaturegeometrically transversal immersions

Mathematics Subject Classification ID

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

Related Items (max. 100)

Bonnet and isotropically isothermic surfaces in 4-dimensional space forms ⋮ Reduction of the codimension of regular isometric immersions ⋮ Isometric deformations of minimal surfaces in \(\mathbb{S}^{4}\) ⋮ Inflection points and asymptotic lines on Lagrangian surfaces ⋮ Orthogonal asymptotic lines on surfaces immersed in \(\mathbb{R}^4\) ⋮ Minimal immersions of surfaces into 4-dimensional space forms ⋮ Some generic properties of Riemannian immersions

Cites Work

• On singularities of submanifolds of higher dimensional Euclidean spaces
• Proof of a conjecture of Whitney
• Some generic properties of Riemannian immersions
• Immersions of Manifolds
• Characteristic Classes. (AM-76)
• Differential Topology
• The Geometry of Immersions. I
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Contributions to the Theory of Surfaces in a 4-Space of Constant Curvature

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