The Gauss Map of a Minimal Surface

Antonio Alarcón,Franc Forstnerič,Francisco J. López

Springer Monographs in MathematicsMinimal Surfaces from a Complex Analytic Viewpoint（2021）

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摘要

In this chapter we continue and substantially expand the study of the Gauss map of minimal surfaces. The main new result of this chapter is that every natural candidate is the Gauss map of a conformal minimal surface in Rn. We also discuss the value distribution theory of the Gauss map of complete minimal surfaces of finite total curvature.

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关键词

minimal surface,gauss map

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