On Closed Geodesics on Ellipsoids

Details On Closed Geodesics on Ellipsoids On Closed Geodesics on Ellipsoids

2005-12-29

arxiv.org/abs/math-ph/0512092v1

Physics

Mathematical Physics

9 pages

Scientific paper

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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