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math.DG2014
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…
math.DG2014
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…
math.DG2014
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…