The Gauss map for surfaces in 4-space

DOI10.1007/BF01450764zbMath0536.53008OpenAlexW2081260502MaRDI QIDQ791875

Joel L. Weiner

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/163947

zbMATH Keywords

sectional curvatureGauss mapimmersionCauchy problems

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Initial-boundary value problems for second-order hyperbolic equations (35L20) Boundary value problems for second-order elliptic equations (35J25)

Related Items (5)

Global properties of the Gauss image of flat surfaces in \(R^ 4\) ⋮ The geometry of surfaces in 4-space from a contact viewpoint ⋮ Spherical maps and three-dimensional torsion of surfaces in four- dimensional Riemannian manifolds. II ⋮ Surfaces in \({\mathbb{R}^4}\) with constant principal angles with respect to a plane ⋮ On the affine Gauss maps of submanifolds of Euclidean space

Cites Work

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• On the immersion of manifolds in Euclidean space
• On singularities of submanifolds of higher dimensional Euclidean spaces
• Zur Riemannschen Geometrie in Grassmannschen Mannigfaltigkeiten
• A theorem on orientable surfaces in four-dimensional space
• DEFINING A SURFACE IN 4-DIMENSIONAL EUCLIDEAN SPACE BY MEANS OF ITS GRASSMANN IMAGE
• Self-Linking and the Gauss Integral in Higher Dimensions

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