Work

Perimeter of Triangles Inscribed in the Unit Ball of Normed Planes

Year: 2025

Type: article

Abstract: Given a normed plane, we consider the ranges of perimeters concerning some classes of triangles whose vertices are points on the unit sphere. The problems studied are essentially geometric. We try to collect several results that are scattered in different journals, comparing and improving some of them. Some illustrative examples are presented. Finally, some open problems are proposed.

Source: Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-025-02805-6

Authors: J. Alonso, P. Martín, P. L. Papini

Institution: Universidad de Extremadura

Language: English

Topic: Point processes and geometric inequalities

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Universidad de Extremadura