Symplectic Structures in Geometry, Algebra and Dynamics
Collaborative Research Centre TRR 191
 
A1, A2, A3, A5, A6, A7
B1, B2, B3, B4, B5, B6, B7
C1, C2, C3, C4, C5
Topology & Equivariant Theories
A2: Riemannian orbifolds
Geiges, Lytchak, Zehmisch
Abstract:
We intend to prove the existence of at least one closed geodesic on every compact Riemannian orbifold, using methods developed in symplectic topology for proving the Weinstein conjecture. We also study orbifolds all of whose geodesics are closed with the help of holomorphic curve techniques. A further aim is to understand the topology of highly connected orbifolds, with applications to Riemannian foliations on manifolds.
Group:
 
Prof. Hansjörg Geiges (PI)
mail: geiges at math.uni-koeln.de
phone: 0221 / 470 4345
room: 222/223
Mathematical Institute
University of Cologne
Prof. Alexander Lytchak (PI)
mail: alytchak at math.uni-koeln.de
phone: 0221 / 470 2888
room: 109
Mathematical Institute
University of Cologne
Prof. Kai Zehmisch (PI)
mail: kai.zehmisch at wwu.de
phone: 0251 / 833 3704
room: 302
Mathematical Institute
University of Münster
Dr. Christian Lange (pd)
mail: clange at math.uni-koeln.de
phone: 0221 / 470 3716
room: -103
Mathematical Institute
University of Cologne
Impressum Institution of DFG, MI University of Cologne and FM Ruhr-University Bochum