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math.DG2014
Existence and Non-existence of Half-Geodesics on
Ian Adelstein
In this paper we study half-geodesics, those closed geodesics that minimize on any subinterval of length . For each nonnegative integer , we construct Riemannian manifol…
math.DG2014
Minimizing Closed Geodesics via Critical Points of the Uniform Energy
Ian Adelstein
In this paper we study 1/k-geodesics, those closed geodesics that minimize on any subinterval of length . We employ energy methods to provide a relationship between the 1/k…