The geometry of corank 1 surfaces in ℝ4

DOI10.1093/qmath/hay064zbMath1460.53007arXiv1801.06380OpenAlexW2905885227MaRDI QIDQ5147008

Pedro Benedini Riul, Raul Oset Sinha, Maria Aparecida Soares Ruas

Publication date: 2 February 2021

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06380

zbMATH Keywords

normal spaceumbilic curvaturecurvature parabolaasymptotic and binormal directionscorank-1 singularities

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Critical points of functions and mappings on manifolds (58K05)

Related Items (5)

Axial curvatures for corank 1 singular \(n\)-manifolds in \(\mathbb{R}^{n+k}\) ⋮ The flat geometry of the I_1 singularity: (x,y) -> (x,xy,y^2,y^3) ⋮ Relating second order geometry of manifolds through projections and normal sections ⋮ Geometry of surfaces in \(\mathbb{R}^5\) through projections and normal sections ⋮ Singular 3-manifolds in \(\mathbb{R}^5\)

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