4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.MG2016★ 1 cited
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…
math.DG2016★ 4 cited
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…
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…