5 papers
Equiaffine Characterization Of Lagrangian Surfaces in
Marcos Craizer
For non-degenerate surfaces in , a distinguished transversal bundle called affine normal plane bundle was proposed in [Nomizu-Vrancken]. Lagrangian surfaces have remarkable pr…
Curvature Motion in a Minkowski Plane
Vitor Balestro, Marcos Craizer, Ralph C. Teixeira
In this paper we study the curvature flow of a curve in a plane endowed with a minkowskian norm whose unit ball is smooth. We show that many of the properties known in the euclidea…
Involutes of Polygons of Constant Width in Minkowski Planes
Marcos Craizer, Horst Martini
Consider a convex polygon P in the plane, and denote by U a homothetical copy of the vector sum of P and (-P). Then the polygon U, as unit ball, induces a norm such that, with resp…
Singularities of convex improper affine maps
Marcos Craizer
In this paper we consider convex improper affine maps of the 3-dimensional affine space and classify their singularities. The main tool developed is a generating family with proper…
Visual Contours and Planar Sections of Affine Immersions
Marcos Craizer
In this paper we consider planar sections and visual contours of co-dimension one affine immersions. The main theorem says that the third order Taylor expansion of the difference b…