2 papers
math.DS2017
On geodesic flows with symmetries and closed magnetic geodesics on orbifolds
Luca Asselle, Felix Schmäschke
Let be a closed manifold admitting a locally-free action of a compact Lie group . In this paper we study the properties of geodesic flows on given by Riemannian metrics…
math.DS2016
On the existence of closed magnetic geodesics via symplectic reduction
Luca Asselle, Felix Schmäschke
Let be a closed Riemannian manifold and be a closed 2-form on representing an integer cohomology class. In this paper, using symplectic reduction, we show how the p…