一类Randers度量(英文)

On a class of Randers Metrics

研究了一类特殊的Randers度量,找到了这类度量与黎曼度量α逐点射影等价的几个方程.

This paper studies a special class of Randers metrics and finds several equations that this class of Randers F（y）=√β（y）^2＋（1-｜β｜^2）α（y）^2-β（y）/1-｜β｜^2 is pointwise projective to α, where α （y） =√αij（x）y^iy^j be a Riemannian metric on an n-dimensional manifold M and β（y） = bi（x）y^i.