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Randers spaces of constant flag curvature induced by almost contact metric structures. (English) Zbl 1062.53014

The authors study the Randers space induced by an almost contact metric structure. They show that a connected almost contact Riemannian manifold of odd dimension \(n\geq 3\) whose automorphism group has maximum dimension induces a natural structure of Randers space of constant flag curvature.

MSC:

53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
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