A spherical Fabricius-Bjerre formula with applications to closed space curves.
Affine classification of -curves.
Affine invariants of annuli
A family of regular annuli is considered. Affine invariants of annuli are introduced.
Affinely invariant symmetry sets
The classical medial axis and symmetry set of a smooth simple plane curve M, depending as they do on circles bitangent to M, are invariant under euclidean transformations. This article surveys the various ways in which the construction has been adapted to be invariant under affine transformations. They include affine distance and area constructions, and also the 'centre symmetry set' which generalizes central symmetry. A connexion is also made with the tricentre set of a convex plane curve, which...
All Bézier curves are attractors of iterated function systems.
An alternative moving frame for tubular surfaces around time-like curves in the Minkowski 3-space.
An equality for the curvature function of a simple and closed curve on the plane.
Area and length of spherical cycloid
Area swept by line segment under a planar motion.
Asymptotic analysis of the equichordal problem.
Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature
Asymptotic behavior of solutions of an area-preserving crystalline curvature flow equation is investigated. In this equation, the area enclosed by the solution polygon is preserved, while its total interfacial crystalline energy keeps on decreasing. In the case where the initial polygon is essentially admissible and convex, if the maximal existence time is finite, then vanishing edges are essentially admissible edges. This is a contrast to the case where the initial polygon is admissible and convex:...
Bar Billiards and Poncelet’s Porism
Bemerkungen über die Diffenrentialgleichung einer Art von Curven auf Flächen.
Bemerkungen über die orthogonalen Flächen
Bemerkungen über einige Flächen von constantem Krümmungsmaaß.
Bifurcations of affine invariants for one-parameter family of generic convex plane curves
We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.
Biharmonic curves in Minkowski 3-space.
Biharmonic curves in Minkowski 3-space. II.
Bose's vertex theorem for simply closed polygons.
Ch flat curves in Euclidean space