Minimal Surfaces through Nevanlinna Theory / / 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 prop...

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2023]
©2023
Year of Publication:2023
Language:English
Series:De Gruyter Studies in Mathematics , 92
Online Access:
Physical Description:1 online resource (X, 196 p.)
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245 1 0 |a Minimal Surfaces through Nevanlinna Theory /  |c Min Ru. 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 92 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1 Some background in differential geometry --   |t 2 Analysis and geometry of complex functions --   |t 3 Minimal surfaces in R3 --   |t 4 The Nevanlinna theory --   |t 5 Gauss maps of minimal surfaces in Rm --   |t 6 Nevanlinna theory on the open ball B(R0) ⊂ Cn and the nonintegrated defect relation --   |t Bibliography --   |t Index 
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520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Mai 2023) 
650 0 |a Minimal surfaces. 
650 0 |a Nevanlinna theory. 
650 4 |a Gauss-Karten. 
650 4 |a Minimale Oberflächentheorie. 
650 4 |a Nevanlinna-Theorie. 
650 7 |a MATHEMATICS / Applied.  |2 bisacsh 
653 |a Nevanlinna Theory, Minimal Spaces, Gauss Maps, Theory of Holomorphic Curves. 
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