Affine isoparametric hypersurfaces.
Affine isoperimetric problems and surfaces with constant affine mean curvature.
Affine maximal hypersurfaces
This paper is part of the autumn school on "Variational problems and higher order PDEs for affine hypersurfaces". We discuss affine Bernstein problems and complete constant mean curvature surfaces in equiaffine differential geometry.
Affine perimeter and limit shape.
Affine space motions with only plane trajectories
Affine spheres: Discretization via duality relations.
Affine spheres with constant affine sectional cuvature.
Affine surfaces with parallel shape operators
We study affine nondegenerate Blaschke hypersurfaces whose shape operators are parallel with respect to the induced Blaschke connections. We classify such surfaces and thus give an exact classification of extremal locally symmetric surfaces, first described by F. Dillen.
Affine surfaces with planar affine normals in 3-dimensional Minkowski space .
Affine umbilical surfaces in R4.
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...
Afinní zobrazení v rovině
Alcune notevoli classi di trasformazioni puntuali di uno spazio proiettivo in sé.
Alcuni invarianti di contatto di due varietà in uno spazio proiettivo
Algebraic aspects of web geometry
Algebraic aspects of web geometry, namely its connections with the quasigroup and loop theory, the theory of local differential quasigroups and loops, and the theory of local algebras are discussed.
Algebraic geometry and local differential geometry
Algebraic representation formulas for null curves in Sl(2,ℂ)
We study curves in Sl(2,ℂ) whose tangent vectors have vanishing length with respect to the biinvariant conformal metric induced by the Killing form, so-called null curves. We establish differential invariants of them that resemble infinitesimal arc length, curvature and torsion of ordinary curves in Euclidean 3-space. We discuss various differential-algebraic representation formulas for null curves. One of them, a modification of the Bianchi-Small formula, gives an Sl(2,ℂ)-equivariant bijection...
Algèbres de Clifford dégénérées et revêtements des groupes conformes affines orthogonaux et symplectiques
All Bézier curves are attractors of iterated function systems.
All constant mean curvature tori in R3, S3, H3 in terms of theta-functions.