Article ID Journal Published Year Pages File Type
4658093 Topology and its Applications 2016 17 Pages PDF
Abstract

In this article, we study the relations between the ramifications of the Gauss map and the total curvature of a complete minimal surface. More precisely, we introduce some conditions on the ramifications of the Gauss map of a complete minimal surface M to show that M has finite total curvature.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Preview
Ramification of the Gauss map and the total curvature of a complete minimal surface
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