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math-ph2018
Many closed -magnetic geodesics on
Roberta Musina, Fabio Zuddas
In this paper we adopt an alternative, analytical approach to Arnol'd problem \cite{A1} about the existence of closed and embedded -magnetic geodesics in the round -sphere $\…
math.DG2018
Embedded loops in the hyperbolic plane with prescribed, almost constant curvature
Roberta Musina, Fabio Zuddas
Given a constant and a real valued function on the hyperbolic plane , we study the problem of finding, for any , a closed and embedded curve $u^ε…