Abstract
We denote with PC m the m-dimensional complex projective space, with U the unitary group acting on it with z i(j=0, 1,..., m) the homogenous coordinates of a point [z] of PC m and assume that the z i are normalized such that z 0z0 +...+z mzm=1. Furthermore we denote the U-invariant metric on PC m with d. We consider now a uniformly distributed sequence ([z] k ; k=1,2,...) of points on PC m and study the sequence (d l([z] k , [z]0)), l≥0, [z]0 a fixed point. We prove with the help of the theory of uniform distribution properties of this sequence. We consider furthermore a dual sequence suggested by the theory of H. Weyl and L. V. Ahlfors on meromorphic curves.
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