scholarly journals Interpolation and optimal hitting for complete minimal surfaces with finite total curvature

Author(s):  
Antonio Alarcón ◽  
Ildefonso Castro-Infantes ◽  
Francisco J. López
1991 ◽  
Vol 44 (2) ◽  
pp. 225-232 ◽  
Author(s):  
Min Ru

We prove that if a nonflat complete regular minimal surface immersed in Rn is of finite total curvature, then its Gauss map can omit at most (n – 1)(n + 2)/2 hyperplanes in general position in Pn–1 (ℂ).


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