Abstract
Let M(c) be a Sasakian space form of constant φ-sectional curvature c ∈ (-3,1). We prove that for any K > 0 there exists a Randers metric on M(c) of constant flag curvature K. Moreover, we show that such a Randers metricis not projectively flat. In particular, this means that every odd dimensional sphere admits such metrics.
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