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On Closed Geodesics on Ellipsoids

Vladimir Dragovic, Milena Radnovic

math-pharXiv:math-ph/0512092

Abstract

Closed geodesic lines on an ellipsoid in d-dimensional Euclidean space are considered. Explicit algebro-geometric condition for closedness of such a geodesic is given. The obtained condition is discussed in light of theta-functions theory and compared with some recent related results.

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