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math.MG2023
Geometries on Polygons in the unit disc
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
For a family of properly embedded curves in the 2-dimensional disk satisfying certain uniqueness properties, we consider convex polygons $P\subset \m…
math.MG2023
A specific model of Hilbert geometry on the unit disc
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
A new metric on the open 2-dimensional unit disk is defined making it a geodesically complete metric space whose geodesic lines are precisely the Euclidean straight lines. Moreover…