On Closed Geodesics on Ellipsoids

2005/12/29 by Vladimir Dragovic, Dragovic, Vladimir, Milena Radnovic +1
Mathematics · Physics and Astronomy · #14H70 #51N35 #70H06 #Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AG #math.MP #msc:14H70 #msc:51N35 #msc:70H06

paper · pdf · doi:10.48550/arxiv.math-ph/0512092

9 pages

arxiv created 2005/12/29 · arxiv updated 2009/12/01

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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