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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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2023 |
| Year of Publication: | 2023 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
92 |
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| Physical Description: | 1 online resource (X, 196 p.) |
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Ru, Min, author. aut http://id.loc.gov/vocabulary/relators/aut Minimal Surfaces through Nevanlinna Theory / Min Ru. Berlin ; Boston : De Gruyter, [2023] ©2023 1 online resource (X, 196 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 92 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Mai 2023) Minimal surfaces. Nevanlinna theory. Gauss-Karten. Minimale Oberflächentheorie. Nevanlinna-Theorie. MATHEMATICS / Applied. bisacsh Nevanlinna Theory, Minimal Spaces, Gauss Maps, Theory of Holomorphic Curves. Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 9783111175782 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English 9783111319292 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 9783111318912 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English 9783111319209 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 9783111318608 ZDB-23-DMA EPUB 9783110989960 print 9783110999822 https://doi.org/10.1515/9783110989557 https://www.degruyter.com/isbn/9783110989557 Cover https://www.degruyter.com/document/cover/isbn/9783110989557/original |
| language |
English |
| format |
eBook |
| author |
Ru, Min, Ru, Min, |
| spellingShingle |
Ru, Min, Ru, Min, Minimal Surfaces through Nevanlinna Theory / De Gruyter Studies in Mathematics , 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 |
| author_facet |
Ru, Min, Ru, Min, |
| author_variant |
m r mr m r mr |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Ru, Min, |
| title |
Minimal Surfaces through Nevanlinna Theory / |
| title_full |
Minimal Surfaces through Nevanlinna Theory / Min Ru. |
| title_fullStr |
Minimal Surfaces through Nevanlinna Theory / Min Ru. |
| title_full_unstemmed |
Minimal Surfaces through Nevanlinna Theory / Min Ru. |
| title_auth |
Minimal Surfaces through Nevanlinna Theory / |
| title_alt |
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 |
| title_new |
Minimal Surfaces through Nevanlinna Theory / |
| title_sort |
minimal surfaces through nevanlinna theory / |
| series |
De Gruyter Studies in Mathematics , |
| series2 |
De Gruyter Studies in Mathematics , |
| publisher |
De Gruyter, |
| publishDate |
2023 |
| physical |
1 online resource (X, 196 p.) Issued also in print. |
| contents |
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 |
| isbn |
9783110989557 9783111175782 9783111319292 9783111318912 9783111319209 9783111318608 9783110989960 9783110999822 |
| issn |
0179-0986 ; |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA644 |
| callnumber-sort |
QA 3644 R8 42023 |
| url |
https://doi.org/10.1515/9783110989557 https://www.degruyter.com/isbn/9783110989557 https://www.degruyter.com/document/cover/isbn/9783110989557/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
516 - Geometry |
| dewey-full |
516.3/62 |
| dewey-sort |
3516.3 262 |
| dewey-raw |
516.3/62 |
| dewey-search |
516.3/62 |
| doi_str_mv |
10.1515/9783110989557 |
| work_keys_str_mv |
AT rumin minimalsurfacesthroughnevanlinnatheory |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)634092 |
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cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 |
| is_hierarchy_title |
Minimal Surfaces through Nevanlinna Theory / |
| container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
| _version_ |
1770178150024609792 |
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