Extrinsic geometry and higher order contacts of surfaces in $\mathbb R^5$

DOI10.5427/jsing.2018.17hzbMath1392.53011OpenAlexW2807522254MaRDI QIDQ4566028

Federico Sánchez-Bringas, Pierre Bayard, Felipe Méndez Varela

Publication date: 14 June 2018

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5427/jsing.2018.17h

zbMATH Keywords

second fundamental formcurvature ellipseasymptotic linesinflection and umbilic points

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Cites Work

• Geometric invariants of surfaces in \(\mathbb R^4\).
• Geometric contacts of surfaces immersed in \(\mathbb R^n,n\geqslant 5\)
• Inflection points and nonsingular embeddings of surfaces in \(\mathbb{R}^5\)
• Lines of axial curvature on surfaces immersed in \(\mathbb{R}^4\)
• On the affine Gauss maps of submanifolds of Euclidean space
• On singularities of submanifolds of higher dimensional Euclidean spaces
• Relative mean curvature configurations for surfaces in \(\mathbb R^{n}\), \(n \geq 5\)
• Geometric invariants and principal configurations on spacelike surfaces immersed in ℝ^3,1
• Differential Geometry from a Singularity Theory Viewpoint
• ASYMPTOTIC CURVES ON SURFACES IN ℝ⁵
• Courbures et basculements des sous-variétés riemanniennes