Construction of non-hyperspherical immersions
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Publication:692750
DOI10.1007/s00574-012-0014-2zbMath1258.53009OpenAlexW2031161396MaRDI QIDQ692750
Publication date: 6 December 2012
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-012-0014-2
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (2)
Isometric immersions with prefixed second order geometry in minimal codimension ⋮ Characterization of spherical immersions of surfaces in \(\mathbb{R}^{4}\)
Cites Work
- Orthogonal asymptotic lines on surfaces immersed in \(\mathbb{R}^4\)
- All superconformal surfaces in \({\mathbb R^4}\) in terms of minimal surfaces
- The Gauss map and second fundamental form of surfaces in \(\mathbb{R}^3\)
- Umbilicity of surfaces with orthogonal asymptotic lines in \(\mathbb R^ 4\).
- Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
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