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

2019 ◽  
Vol 58 (1) ◽  
Author(s):  
Antonio Alarcón ◽  
Ildefonso Castro-Infantes ◽  
Francisco J. López
Keyword(s):  
Minimal Surfaces ◽  
Total Curvature ◽  
Finite Total Curvature

Simply Connected Minimal Surfaces with Finite Total Curvature in ℍ2 × ℝ

2013 ◽  
Vol 2014 (11) ◽  
pp. 2944-2954 ◽  
Author(s):  
Juncheol Pyo ◽  
Magdalena Rodríguez
Keyword(s):  
Minimal Surfaces ◽  
Total Curvature ◽  
Finite Total Curvature ◽  
Simply Connected

scholarly journals On the Gauss map of minimal surfaces with finite total curvature

1991 ◽  
Vol 44 (2) ◽  
pp. 225-232 ◽  
Author(s):  
Min Ru
Keyword(s):  
Minimal Surface ◽  
Minimal Surfaces ◽  
General Position ◽  
Total Curvature ◽  
Gauss Map ◽  
Finite Total Curvature

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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