Hyperbolic complex spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin ; Heidelberg
Springer
1998
|
| Series: | Die Grundlehren der mathematischen Wissenschaften
318 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XIII, 471 Seiten Illustrationen |
| ISBN: | 9783642083396 3540635343 9783540635345 |
Staff View
MARC
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| 100 | 1 | |a Kobayashi, Shōshichi |d 1932-2012 |e Verfasser |0 (DE-588)107956209 |4 aut | |
| 245 | 1 | 0 | |a Hyperbolic complex spaces |c Shoshichi Kobayashi |
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c 1998 | |
| 264 | 4 | |c © 1998 | |
| 300 | |a XIII, 471 Seiten |b Illustrationen | ||
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| 490 | 1 | |a Die Grundlehren der mathematischen Wissenschaften |v 318 | |
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| 650 | 4 | |a Analytic spaces | |
| 650 | 4 | |a Distance geometry | |
| 650 | 4 | |a Holomorphic functions | |
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Record in the Search Index
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|---|---|
| adam_text | Table of Contents
Introduction IX
Chapter 1. Distance Geometry 1
1 Pseudo distances 1
2 Degeneracy of Inner Pseudo distances 7
3 Mappings into Metric Spaces 8
4 Norms and Indicatrices 13
Chapter 2. Schwarz Lemma and Negative Curvature 19
1 Schwarz Lemma 19
2 Negatively Curved Riemann Surfaces 25
3 Negatively Curved Complex Spaces 30
4 Ricci Forms and Schwarz Lemma for Volume Elements 35
5 Metrics in Jet Bundles 41
Chapter 3. Intrinsic Distances 49
1 Two Intrinsic Pseudo distances 49
2 Hyperbolicity 60
3 Hyperbolic Imbeddings 70
4 Relative Intrinsic Pseudo distance 80
5 Infinitesimal Pseudometric Fx 86
6 Brody s Criteria for Hyperbolicity and Applications 100
7 Differential Geometric Criteria for Hyperbolicity 112
8 Subvarieties of Quasi Tori 116
9 Theorem of Bloch Ochiai 124
10 Projective Spaces with Hyperplanes Deleted 134
11 Deformations and Hyperbolicity 148
A Royden s Extension Lemma 153
B Nevanlinna Cartan Theory 159
Chapter 4. Intrinsic Distances for Domains 173
1 Caratheodory Distance and Its Associated Inner Distance 173
2 Infinitesimal Caratheodory Metric 178
VI Table of Contents
3 Pseudo distance Defined by Plurisubharmonic Functions 184
4 Holomorphic Completeness 187
5 Strongly Pseudoconvex Domains 192
6 Extremal Discs and Complex Geodesies 202
7 Extremal Problems and Extremal Discs 206
8 Intrinsic Distances on Convex Domains 215
9 Product Property for the Caratheodory Distance 221
10 Bergman Metric 224
A Pseudoconvexity 234
Chapter 5. Holomorphic Maps into Hyperbolic Spaces 239
1 Normality, Tautness and Hyperbolicity 239
2 Taut Domains 251
3 Spaces of Holomorphic Mappings 256
4 Automorphisms of Hyperbolic Complex Spaces 262
5 Self mappings of Hyperbolic Complex Spaces 268
Chapter 6. Extension and Finiteness Theorems 277
1 The Classical Big Picard Theorem 277
2 Extension through Subsets of Large Codimension 279
3 Generalized Big Picard Theorems and Applications 282
4 Moduli of Maps into Hyperboically Imbedded Spaces 290
5 Hyperbolic and Hyperbolically Imbedded Fibre Spaces 295
6 Surjective Maps to Hyperbolic Spaces 302
7 Holomorphic Maps into Spaces of Nonpositive Curvature 313
8 Holomorphic Maps into Quotients of Symmetric Domains 323
9 Finiteness Theorems for Sections of Hyperbolic Fiber Spaces . . . 329
A Complex Finsler Vector Bundles 335
Chapter 7. Manifolds of General Type 343
1 Intrinsic Volume Forms 343
2 Intrinsic Measures 353
3 Pseudo ampleness and L dimension 360
4 Measure Hyperbolicity and Manifolds of General Type 365
5 Extension of Maps into Manifolds of General Type 370
6 Dominant Maps to Manifolds of General Type 376
7 Effective Finiteness Theorems on Dominant Maps 382
Chapter 8. Value Distributions 393
1 Grassmann Algebra 393
2 Associated Curves 397
3 Contact Functions 402
4 First Main Theorem 407
Table of Contents VII
5 Second Main Theorem 413
6 Entire Curves 421
7 Defect Relation 424
References 429
Index 469
|
| any_adam_object | 1 |
| author | Kobayashi, Shōshichi 1932-2012 |
| author_GND | (DE-588)107956209 |
| author_facet | Kobayashi, Shōshichi 1932-2012 |
| author_role | aut |
| author_sort | Kobayashi, Shōshichi 1932-2012 |
| author_variant | s k sk |
| building | Verbundindex |
| bvnumber | BV011814822 |
| callnumber-first | Q - Science |
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| classification_rvk | SK 380 SK 780 |
| ctrlnum | (OCoLC)245728282 (DE-599)BVBBV011814822 |
| dewey-full | 515.94 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.94 |
| dewey-search | 515.94 |
| dewey-sort | 3515.94 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011814822 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:16:13Z |
| institution | BVB |
| isbn | 9783642083396 3540635343 9783540635345 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007978358 |
| oclc_num | 245728282 |
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| physical | XIII, 471 Seiten Illustrationen |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Springer |
| record_format | marc |
| series | Die Grundlehren der mathematischen Wissenschaften |
| series2 | Die Grundlehren der mathematischen Wissenschaften |
| spelling | Kobayashi, Shōshichi 1932-2012 Verfasser (DE-588)107956209 aut Hyperbolic complex spaces Shoshichi Kobayashi Berlin ; Heidelberg Springer 1998 © 1998 XIII, 471 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Die Grundlehren der mathematischen Wissenschaften 318 Hier auch später erschienene, unveränderte Nachdrucke Hyperbolischer komplexer Raum Analytic spaces Distance geometry Holomorphic functions Holomorphe Abbildung (DE-588)4160471-4 gnd rswk-swf Komplexe Geometrie (DE-588)4164898-5 gnd rswk-swf Pseudoabstand (DE-588)4335987-5 gnd rswk-swf Hyperbolischer komplexer Raum (DE-588)4138418-0 gnd rswk-swf Komplexe Geometrie (DE-588)4164898-5 s DE-604 Hyperbolischer komplexer Raum (DE-588)4138418-0 s Pseudoabstand (DE-588)4335987-5 s Holomorphe Abbildung (DE-588)4160471-4 s Erscheint auch als Online-Ausgabe 978-3-662-03582-5 Die Grundlehren der mathematischen Wissenschaften 318 (DE-604)BV000000395 318 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007978358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kobayashi, Shōshichi 1932-2012 Hyperbolic complex spaces Die Grundlehren der mathematischen Wissenschaften Hyperbolischer komplexer Raum Analytic spaces Distance geometry Holomorphic functions Holomorphe Abbildung (DE-588)4160471-4 gnd Komplexe Geometrie (DE-588)4164898-5 gnd Pseudoabstand (DE-588)4335987-5 gnd Hyperbolischer komplexer Raum (DE-588)4138418-0 gnd |
| subject_GND | (DE-588)4160471-4 (DE-588)4164898-5 (DE-588)4335987-5 (DE-588)4138418-0 |
| title | Hyperbolic complex spaces |
| title_auth | Hyperbolic complex spaces |
| title_exact_search | Hyperbolic complex spaces |
| title_full | Hyperbolic complex spaces Shoshichi Kobayashi |
| title_fullStr | Hyperbolic complex spaces Shoshichi Kobayashi |
| title_full_unstemmed | Hyperbolic complex spaces Shoshichi Kobayashi |
| title_short | Hyperbolic complex spaces |
| title_sort | hyperbolic complex spaces |
| topic | Hyperbolischer komplexer Raum Analytic spaces Distance geometry Holomorphic functions Holomorphe Abbildung (DE-588)4160471-4 gnd Komplexe Geometrie (DE-588)4164898-5 gnd Pseudoabstand (DE-588)4335987-5 gnd Hyperbolischer komplexer Raum (DE-588)4138418-0 gnd |
| topic_facet | Hyperbolischer komplexer Raum Analytic spaces Distance geometry Holomorphic functions Holomorphe Abbildung Komplexe Geometrie Pseudoabstand |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007978358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000395 |
| work_keys_str_mv | AT kobayashishoshichi hyperboliccomplexspaces |