On Closed Geodesics on Ellipsoids
classification
🧮 math-ph
math.AGmath.MP
keywords
closedconditiongeodesicalgebro-geometricclosednesscomparedconsideredd-dimensional
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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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