69 citations · 222 across the 18 of their papers we have counts for
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math-ph2005★ 2 cited
On Closed Geodesics on Ellipsoids
Vladimir Dragovic, Milena Radnovic
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…
math-ph2005★ 3 cited
Geometry of Integrable Billiards and Pencils of Quadrics
Vladimir Dragovic, Milena Radnovic
We study the deep interplay between geometry of quadrics in d-dimensional space and the dynamics of related integrable billiard systems. Various generalizations of Poncelet theorem…
math-ph2005★ 32 cited
Cayley-Type Conditions for Billiards within Quadrics in
Vladimir Dragovic, Milena Radnovic
The notions of reflection from outside, reflection from inside and signature of a billiard trajectory within a quadric are introduced. Cayley-type conditions for periodical traject…