Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Alarcón, A., Forstnerič, F., López, F.J. (2021). The Gauss Map of a Minimal Surface. In: Minimal Surfaces from a Complex Analytic Viewpoint. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-69056-4_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-69056-4_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-69055-7
Online ISBN: 978-3-030-69056-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)