Geometry Seminar: D. Sukhorebska (U Münster)
Geometry Seminar (Geometric Analysis)
Speaker: Darya Sukhorebska (U Münster)
Title: Simple closed geodesics on a surface with conical singularities.
Abstract: On a regular convex surface there are at least three simple closed geodesics. However this statement is not true for a non-smooth surface. The existence of a closed geodesic on such surfaces depends on the full angle around the singular point. A big challenge is that a geodesic that hits the singular point can not be extended. In my talk I will present a whole classification of simple closed geodesics on regular tetrahedra in spaces of constant curvature. We will also see the difference in properties of the geodesics that depends on the curvature of ambient space. I will also show you methods that we use for working with a non-smooth surface. The talk is based on a joint work with Alexander Borisenko.
Speaker: Darya Sukhorebska (U Münster)
Title: Simple closed geodesics on a surface with conical singularities.
Abstract: On a regular convex surface there are at least three simple closed geodesics. However this statement is not true for a non-smooth surface. The existence of a closed geodesic on such surfaces depends on the full angle around the singular point. A big challenge is that a geodesic that hits the singular point can not be extended. In my talk I will present a whole classification of simple closed geodesics on regular tetrahedra in spaces of constant curvature. We will also see the difference in properties of the geodesics that depends on the curvature of ambient space. I will also show you methods that we use for working with a non-smooth surface. The talk is based on a joint work with Alexander Borisenko.