Displaying 121 – 140 of 2173

Showing per page

Affine invariants of annuli

Waldemar Cieślak, Elżbieta Szczygielska (2012)

Annales UMCS, Mathematica

A family of regular annuli is considered. Affine invariants of annuli are introduced.

Affine maximal hypersurfaces

An-Min Li, Fang Jia (2005)

Banach Center Publications

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 surfaces with parallel shape operators

Włodzimierz Jelonek (1992)

Annales Polonici Mathematici

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.

Affinely invariant symmetry sets

Peter Giblin (2008)

Banach Center Publications

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...

Currently displaying 121 – 140 of 2173