Ramification of the Gauss map of complete minimal surfaces in R^m on annular ends
Gerd Dethloff, Pham Hoang Ha, Pham Duc Thoan
TL;DR
This paper investigates how the Gauss map of complete minimal surfaces in R^m behaves on annular ends, improving existing results and extending previous research in the field.
Contribution
It provides new insights and stronger results on the ramification of the Gauss map specifically on annular ends of minimal surfaces, advancing the understanding of their geometric properties.
Findings
Enhanced bounds on the ramification of the Gauss map
Improved results for annular ends of minimal surfaces
Extension of previous theorems by Jin-Ru and Dethloff-Ha
Abstract
In this article, we study the ramification of the Gauss map of complete minimal surfaces in R^m on annular ends. This work is a continuation of previous work of Dethloff-Ha. We thus give an improvement of the results on annular ends of complete minimal surfaces of Jin-Ru.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Algebraic Geometry and Number Theory