3 papers
math.GT2014
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…
math.GT2010
Generalized Teichmüller space of non-compact 3-manifolds and Mostow rigidity
Charalampos Charitos, Ioannis Papadoperakis
Consider a 3dimensional manifold obtained by gluing a finite number of ideal hyperbolic tetrahedra via isometries along their faces. By varying the isometry type of each tet…
math.GT2010
On the Mapping class group of a genus 2 handlebody
Charalampos Charitos, Ioannis Papadoperakis, Georgios Tsapogas
A complex of incompressible surfaces in a handlebody is constructed so that it contains, as a subcomplex, the complex of curves of the boundary of the handlebody. For genus 2 handl…