Contributions to the Theory of Surfaces in a 4-Space of Constant Curvature

DOI10.2307/1990268zbMath0060.38605OpenAlexW4238912032MaRDI QIDQ5837148

Yung-Chow Wong

Publication date: 1946

Full work available at URL: https://doi.org/10.2307/1990268

zbMATH Keywords

Riemannian manifolds

Related Items (19)

Fields of isocline tangent planes along a curve in a Euclidean 4-space ⋮ Contact properties of codimension 2 submanifolds with flat normal bundle ⋮ General rotational ξ−surfaces in Euclidean spaces ⋮ A new approach to canal surface with parallel transport frame ⋮ Immersions of surfaces into 4-dimensional spaces with nonzero normal curvature ⋮ Invariants and quasi-umbilicity of timelike surfaces in Minkowski space \(\mathbb R^{3,1}\) ⋮ Rotational submanifolds in Euclidean spaces ⋮ Geometric invariants of surfaces in \(\mathbb R^4\). ⋮ Rotational surfaces in higher dimensional Euclidean spaces ⋮ Unnamed Item ⋮ On Generalized Spherical Surfaces in Euclidean Spaces ⋮ A characterization of bipolar minimal surfaces in \(S^4\) ⋮ On compact minimal surfaces with non-negative Gaussian curvature in a space of constant curvature. I ⋮ Gauss curvature of Gaussian image of minimal surfaces ⋮ On singularities of submanifolds of higher dimensional Euclidean spaces ⋮ Asymptotic and binormal directions on surfaces sitting in the four-dimensional Euclidean space ⋮ Minimal immersions of surfaces into 4-dimensional space forms ⋮ A factorization of a super-conformal map ⋮ Umbilicity of surfaces with orthogonal asymptotic lines in \(\mathbb R^ 4\).

Cites Work

• Surfaces in four-space of constant curvature
• Isometric embedding of flat manifolds in Euclidean space
• Unnamed Item

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