1 citations · 1 across the 10 of their papers we have counts for
12 papers
Gluing domains
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
In this work we describe a class of subsets of the Euclidean plane which, with the induced length metric, are locally spaces and we show that the gluing of two such subset…
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…
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…
Convexity of asymptotic geodesics in Hilbert Geometry
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
If is the interior of a convex polygon in and two asymptotic geodesics, we show that the distance function $d\left(f\left(t\right),g\left(t\right)\right)…
On the Complex of Separating meridians in Handlebodies
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
For a handlebody of genus it is shown that every automorphism of the complex of separating meridians can be extended to an automorphism on the complex of all meridians and…
On the geodesic flow on CAT(0) spaces
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
Under certain assumptions on CAT(0) spaces, we show that the geodesic flow is topologically mixing. In particular, the Bowen-Margulis' measure finiteness assumption used in recent…