Bounded circles on a complex hyperbolic space are expressed by trajectories on geodesic spheres. (English. French summary) Zbl 07909465
Summary: We take a bounded circle on a complex hyperbolic space. We show that if it has complex torsion either \(\pm 1\) or \(0\) then it is expressed by a geodesic on some geodesic sphere, and show that if it has complex torsion \(\tau\) with \(0 < |\tau| < 1\) then it is uniquely expressed by a non-geodesic trajectory on a geodesic sphere up to congruency.
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