ENGLISH

Minimal Surfaces through Nevanlinna Theory

By Min Ru

Book information

Publisher
de Gruyter
Year
2023
ISBN
9783110989557, 9783110999822
DOI
10.1515/9783110989557
Language
english
Format
PDF
Filesize
3 MB (3473925 bytes)
Series
De Gruyter Studies in Mathematics; 92
Pages
206\206
Library
degruyter.com
Time added
2023-07-29 13:20:35

Description

The study of minimal surfaces is an important subject in differential geometry, and Nevanlinna theory is an important subject in complex analysis and complex geometry. This book discusses the interaction between these two subjects. In particular, it describes the study of the value distribution properties of the Gauss map of minimal surfaces through Nevanlinna theory, a project initiated by the prominent differential geometers Shiing-Shen Chern and Robert Osserman. Presents the basis theory of minimal surfaces. Develops the classical theory of holomorphic curves in the projective space with Ahlfors' approach Examines the y the value distribution properties for the Gauss maps of the immersed harmonic surfaces.

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