Finiteness of the Number of Ends of Minimal Submanifolds in Euclidean Space
نویسنده
چکیده
We prove a version of the well-known Denjoy-Ahlfors theorem about the number of asymptotic values of an entire function for properly immersed minimal surfaces of arbitrary codimension in R N. The finiteness of the number of ends is proved for minimal submanifolds with finite projective volume. We show, as a corollary, that a minimal surface of codimension n meeting any n-plane passing through the origin in at most k points has no more c(n, N)k ends.
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