The normal map as a vector field

zbMath1502.53007arXiv2209.04279MaRDI QIDQ5093480

Matthew Cherrie, Thomas J. Waters

Publication date: 26 July 2022

Full work available at URL: https://arxiv.org/abs/2209.04279

zbMATH Keywords

vector fielddegreeindexevolutenormal map

Mathematics Subject Classification ID

Degree, winding number (55M25) Curves in Euclidean and related spaces (53A04)

Cites Work

• Whitney formula in higher dimensions
• Equilibria of point charges on convex curves
• Bifurcations of umbilic points and related principal cycles
• A new formula for winding number
• The cut loci and the conjugate loci on ellipsoids
• Reflection in a translation invariant surface
• Iterating evolutes and involutes
• The conjugate locus on convex surfaces
• Regular and irregular geodesics on spherical harmonic surfaces
• Differential Geometry from a Singularity Theory Viewpoint
• Caustique de la surface elllpsoïdale à trois dimensions
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