6 citations · 23 across the 15 of their papers we have counts for
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Some topics in differential geometry of normed spaces
Vitor Balestro, Horst Martini, Ralph Teixeira
For a surface immersed in a three-dimensional space endowed with a norm instead of an inner product, one can define analogous concepts of curvature and metric. With these concepts…
Surface immersions in normed spaces from the affine point of view
Vitor Balestro, Horst Martini, Ralph Teixeira
The aim of this paper is to investigate the differential geometry of immersed surfaces in three-dimensional normed spaces from the viewpoint of affine differential geometry. We end…
Differential geometry of immersed surfaces in three-dimensional normed spaces
Vitor Balestro, Horst Martini, Ralph Teixeira
In this paper we study curvature types of immersed surfaces in three-dimensional (normed or) Minkowski spaces. By endowing the surface with a normal vector field, which is a transv…
On Legendre curves in normed planes
Vitor Balestro, Horst Martini, Ralph Teixeira
Legendre curves are smooth plane curves which may have singular points, but still have a well defined smooth normal (and corresponding tangent) vector field. Because of the existen…
Discrete Cycloids from Convex Symmetric Polygons
Marcos Craizer, Ralph Teixeira, Vitor Balestro
Cycloids, hipocycloids and epicycloids have an often forgotten common property: they are homothetic to their evolutes. But what if use convex symmetric polygons as unit balls, can…
Concepts of curvatures in normed planes
Vitor Balestro, Horst Martini, Emad Shonoda
The theory of classical types of curves in normed planes is not strongly developed. In particular, the knowledge on existing concepts of curvatures of planar curves is widespread a…