Abstract.
In this paper we study pointwise projectively related Einstein metrics (having the same geodesics as point sets). We show that pointwise projectively related Einstein metrics satisfy a simple equation along geodesics. In particular, we show that if two pointwise projectively related Einstein metrics are complete with negative Einstein constants, then one is a multiple of another.
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Received: 28 October 1999 / Revised: 10 January 2000 /Published online: 18 June 2001
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Shen, Z. On projectively related Einstein metrics in Riemann-Finsler geometry. Math Ann 320, 625–647 (2001). https://doi.org/10.1007/PL00004488
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DOI: https://doi.org/10.1007/PL00004488