A Geometric Characterization of Finsler Manifolds of Constant Curvature

نویسنده

  • H. R. FARRAN
چکیده

We prove that a Finsler manifold Fm is of constant curvature K = 1 if and only if the unit horizontal Liouville vector field is a Killing vector field on the indicatrix bundle IM of Fm.

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تاریخ انتشار 2000