3 papers
math.MG2026
Convergence-Symmetric Metric Spaces
Ismail Saglam, Ken'Ichi Ohshika, Athanase Papadopoulos +1
We study some basic properties of spaces which satisfy the usual axioms of a metric space but without the symmetry axiom. We realised that such a study is needed in view of the rel…
math.DG2025
On families of Finsler metrics
Ismail Saglam, Ken'Ichi Ohshika, Athanase Papadopoulos
In this paper, we answer some natural questions on symmetrisation and more general combinations of Finsler metrics, with a view towards applications to Funk and Hilbert geometries…
math.GT2025
On spaces of Euclidean triangles and triangulated Euclidean surfaces
Ismail Saglam, Ken'Ichi Ohshika, Athanase Papadopoulos
In this paper, we introduce an asymmetric distance function on the space of marked Euclidean triangles of normalised area, and we prove several properties of this metric, which tur…