On Projectively Related Einstein Metrics

نویسنده

  • Zhongmin Shen
چکیده

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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تاریخ انتشار 1999