Characterization of spherical immersions of surfaces in \(\mathbb{R}^{4}\)

DOI10.1007/s00574-016-0202-6zbMath1369.53009OpenAlexW4232543173MaRDI QIDQ2012220

R. C. Volpe, Juan Monterde

Publication date: 28 July 2017

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/s00574-016-0202-6

zbMATH Keywords

local invariantsspherical immersions

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

Constant angle surfaces in 4-dimensional Minkowski space

Cites Work

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• Construction of non-hyperspherical immersions
• Semiumbilics and 2-regular immersions of surfaces in Euclidean spaces
• Umbilicity of surfaces with orthogonal asymptotic lines in \(\mathbb R^ 4\).
• On singularities of submanifolds of higher dimensional Euclidean spaces

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