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Let $Q$ be a closed manifold admitting a locally free action of a compact Lie group $G$. In this paper, we study the properties of geodesic flows on $Q$ given… Click to show full abstract
Let $Q$ be a closed manifold admitting a locally free action of a compact Lie group $G$. In this paper, we study the properties of geodesic flows on $Q$ given by suitable G-invariant Riemannian metrics. In particular, we will be interested in the existence of geodesics that are closed up to the action of some element in the group $G$, since they project to closed magnetic geodesics on the quotient orbifold $Q/G$.
Keywords:
geodesic flows;
closed magnetic;
magnetic geodesics;
flows symmetries;
symmetries closed;
geodesics orbifolds
Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2020
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Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!