Many closed K-magnetic geodesics on $${\mathbb {S}}^2$$
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DOI: 10.1007/s00229-021-01297-4
Abstract: In this paper we adopt an alternative, analytical approach to Arnol’d problem [4] about the existence of closed and embedded K-magnetic geodesics in the round 2-sphere $${\mathbb {S}}^2$$ , where $$K: {\mathbb {S}}^2 \rightarrow {\mathbb… read more here.
Keywords: geodesics mathbb; many closed; magnetic geodesics; closed magnetic ... See more keywords
On geodesic flows with symmetries and closed magnetic geodesics on orbifolds
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DOI: 10.1017/etds.2018.122
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.… read more here.
Keywords: geodesic flows; closed magnetic; magnetic geodesics; flows symmetries ... See more keywords