On Closed Geodesics on Ellipsoids
Mathematical Physics
2007-05-23 v1 Algebraic Geometry
math.MP
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.
Cite
@article{arxiv.math-ph/0512092,
title = {On Closed Geodesics on Ellipsoids},
author = {Vladimir Dragovic and Milena Radnovic},
journal= {arXiv preprint arXiv:math-ph/0512092},
year = {2007}
}
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9 pages