Minimal Surfaces through Nevanlinna Theory / / Min Ru.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• VerfasserIn: Ru, Min,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Series: De Gruyter Studies in Mathematics , 92
• Physical Description: 1 online resource (X, 196 p.)
• Other title: Frontmatter --; Preface --; Contents --; 1 Some background in differential geometry --; 2 Analysis and geometry of complex functions --; 3 Minimal surfaces in R3 --; 4 The Nevanlinna theory --; 5 Gauss maps of minimal surfaces in Rm --; 6 Nevanlinna theory on the open ball B(R0) ⊂ Cn and the nonintegrated defect relation --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110989557; 9783111175782; 9783111319292; 9783111318912; 9783111319209; 9783111318608
• ISSN: 0179-0986
• DOI: 10.1515/9783110989557
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Min Ru.

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.