6 citations · 23 across the 15 of their papers we have counts for
8 papers · 1 filter
Closed Cycloids in a Normed Plane
Marcos Craizer, Ralph Teixeira, Vitor Balestro
Given a normed plane , we call -cycloids the planar curves which are homothetic to their double -evolutes. It turns out that the radius of cu…
Angles in normed spaces
Vitor Balestro, Ákos G. Horváth, Horst Martini +1
The concept of angle, angle functions, and the question how to measure angles present old and well-established mathematical topics referring to Euclidean space, and there exist als…
On a cosine function defined for smooth normed spaces
Vitor Balestro, Emad Shonoda
We do further investigation in a certain cosine function defined for smooth Minkowski spaces. We prove that such function is symmetric if and only if the referred space is Euclidea…
Angle measures, general rotations, and roulettes in normed planes
Vitor Balestro, Ákos G. Horváth, Horst Martini
In this paper a special group of bijective maps of a normed plane, called the group of general rotations, is introduced; it contains the isometry group as a subgroup. The concept o…
A new construction of Radon curves and related topics
Vitor Balestro, Horst Martini, Ralph Teixeira
We present a new construction of Radon curves which only uses convexity methods. In other words, it does not rely on an auxiliary Euclidean background metric (as in the classical w…
Geometric constants for quantifying the difference between orthogonality types
Vitor Balestro, Horst Martini, Ralph Teixeira
This paper is devoted to introduce new geometric constants that quantify the difference between Roberts orthogonality and Birkhoff orthogonality in normed planes. We start by chara…