Self-conjugate vectors of immersed 3-manifolds in \(\mathbb{R}^6\)

DOI10.1016/j.topol.2011.09.019zbMath1247.58022OpenAlexW2071531226MaRDI QIDQ664652

Daniel Dreibelbis

Publication date: 2 March 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.09.019

zbMATH Keywords

inflection pointasymptotic vectorbinormal vectorimmersed manifoldparabolic pointparabolic surface

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) Global theory of singularities (58K30) Coverings in algebraic geometry (14E20) Critical points of functions and mappings on manifolds (58K05)

Related Items (5)

Curvature loci of 3‐manifolds ⋮ The curvature Veronese of a 3-manifold immersed in Euclidean space ⋮ Critical points of the Gauss map and the exponential tangent map ⋮ Relating second order geometry of manifolds through projections and normal sections ⋮ Geometry of surfaces in \(\mathbb{R}^5\) through projections and normal sections

Uses Software

• SINGULAR

Cites Work

• The geometry of surfaces in 4-space from a contact viewpoint
• Computing in algebraic geometry. A quick start using SINGULAR
• On singularities of submanifolds of higher dimensional Euclidean spaces
• Singularities of the Gauss map and the binormal surface
• FAMILIES OF SURFACES IN ℝ⁴
• Inflection points and topology of surfaces in 4-space
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