3 citations · 5 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
On surfaces with conical singularities of arbitrary angle
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
The geometry of closed surfaces equipped with a Euclidean metric with finitely many conical points of arbitrary angle is studied. The main result is that the set of closed geodesic…
The geometry of Euclidean surfaces with conical singularities
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
The geometry of closed surfaces equipped with a Euclidean metric with finitely many conical points of arbitrary angle is studied. The main result is that the image of a non-closed…
On the homeomorphisms of the space of geodesic laminations on a hyperbolic surface
Charalampos Charitos, Ioannis Papadoperakis, Athanase Papadopoulos
We prove that for any orientable connected surface of finite type which is not a a sphere with at most four punctures or a torus with at most two punctures, any homeomorphism of th…
A Complex of Incompressible Surfaces for handlebodies and the Mapping Class Group
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
For a genus g handlebody H a simplicial complex, with vertices being isotopy classes of certain incompressible surfaces in H, is constructed and several properties are established.…