Horocycle trajectories on a Hadamard Kähler manifold


Abstract


In this paper weirst give an estimate on angles between initial vectors of geodesics and trajectories of trajectory-harps, which are variations of geodesics associated with trajectories for Kähler magnetic fields. As an application we investigate unbounded trajectories on a Hadamard Kähler manifolds having single limit points.

Keywords: Kähler magnetic fields; Hadamard manifolds; ideal boundary; horocycle; trajectory-harps; string-elevatione

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