scholarly journals Modified defect relations for the Gauss map of minimal surfaces

1989 ◽  
Vol 29 (2) ◽  
pp. 245-262 ◽  
Author(s):  
Hirotaka Fujimoto
Keyword(s):  
Minimal Surfaces ◽  
Gauss Map

Ramification of the Gauss map of complete minimal surfaces in Rmon annular ends

2016 ◽  
Vol 142 (2) ◽  
pp. 149-167 ◽  
Author(s):  
Gerd Dethloff ◽  
Pham Hoang Ha ◽  
Pham Duc Thoan
Keyword(s):  
Minimal Surfaces ◽  
Gauss Map

Gauss map of minimal surfaces

1980 ◽  
Vol 28 (1) ◽  
pp. 504-507
Author(s):  
A. Ya. Vikaruk
Keyword(s):  
Minimal Surfaces ◽  
Gauss Map

Exterior Univalent Harmonic Mappings With Finite Blaschke Dilatations

1999 ◽  
Vol 51 (3) ◽  
pp. 470-487 ◽  
Author(s):  
D. Bshouty ◽  
W. Hengartner
Keyword(s):  
Partial Differential Equations ◽  
Blaschke Product ◽  
Connected Domain ◽  
Minimal Surfaces ◽  
Gauss Map ◽  
Elliptic Partial Differential Equations ◽  
Harmonic Mappings ◽  
Simply Connected Domain ◽  
Univalent Harmonic Mappings ◽  
Simply Connected

AbstractIn this article we characterize the univalent harmonic mappings from the exterior of the unit disk, Δ, onto a simply connected domain Ω containing infinity and which are solutions of the system of elliptic partial differential equations where the second dilatation function a(z) is a finite Blaschke product. At the end of this article, we apply our results to nonparametric minimal surfaces having the property that the image of its Gauss map is the upper half-sphere covered once or twice.

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