Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2007
|
| Series: | Lecture notes in mathematics
1902 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 139 S. |
| ISBN: | 3540691510 9783540691518 |
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Record in the Search Index
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| adam_text | ALEXANDER ISAEV LECTURES ON THE AUTOMORPHISM GROUPS OF
KOBAYASHI-HYBERBOLIC MANIFOLDS J SPRINGER CONTENTS 1 INTRODUCTION 1
1.1 THE AUTOMORPHISM GROUP AS A LIE GROUP 1 1.2 THE CLASSIFICATION
PROBLEM 4 1.3 A LACUNA IN AUTOMORPHISM GROUP DIMENSIONS 7 1.4 MAIN TOOLS
9 2 THE HOMOGENEOUS CASE 23 2.1 HOMOGENEITY FOR D(M) N 2 23 2.2
CLASSIFICATION OF HOMOGENEOUS MANIFOLDS 24 3 THE CASE D(M) = N 2 29 3.1
MAIN RESULT 29 3.2 INITIAL CLASSIFICATION OF ORBITS 32 3.3 , REAL
HYPERSURFACE ORBITS 34 3.4 PROOF OF THEOREM 3.1 42 4 THE CASE D(M) * N 2
- 1, N 3 51 4.1 MAIN RESULT 51 4.2 INITIAL CLASSIFICATION OF ORBITS 52
4.3 NON-EXISTENCE OF REAL HYPERSURFACE ORBITS 55 4.4 PROOF OF THEOREM
4.1 59 5 THE CASE OF (2,3)-MANIFOLDS 6 1 5.1 EXAMPLES OF (2,3)-MANIFOLDS
62 5.2 STRONGLY PSEUDOCONVEX ORBITS 79 5.3 LEVI-FLAT ORBITS 90 5.4
CODIMENSION 2 ORBITS 106 6 PROPER ACTIONS 121 6.1 GENERAL REMARKS 121
6.2 THE CASE G ~ U N 126 VIII CONTENTS 6.3 THE CASE G ~ SU N 12
REFERENCES 13 INDEX 13
|
| adam_txt |
ALEXANDER ISAEV LECTURES ON THE AUTOMORPHISM GROUPS OF
KOBAYASHI-HYBERBOLIC MANIFOLDS J SPRINGER CONTENTS 1 INTRODUCTION 1
1.1 THE AUTOMORPHISM GROUP AS A LIE GROUP 1 1.2 THE CLASSIFICATION
PROBLEM 4 1.3 A LACUNA IN AUTOMORPHISM GROUP DIMENSIONS 7 1.4 MAIN TOOLS
9 2 THE HOMOGENEOUS CASE 23 2.1 HOMOGENEITY FOR D(M) N 2 23 2.2
CLASSIFICATION OF HOMOGENEOUS MANIFOLDS 24 3 THE CASE D(M) = N 2 29 3.1
MAIN RESULT 29 3.2 INITIAL CLASSIFICATION OF ORBITS 32 3.3 , REAL
HYPERSURFACE ORBITS 34 3.4 PROOF OF THEOREM 3.1 42 4 THE CASE D(M) * N 2
- 1, N 3 51 4.1 MAIN RESULT 51 4.2 INITIAL CLASSIFICATION OF ORBITS 52
4.3 NON-EXISTENCE OF REAL HYPERSURFACE ORBITS 55 4.4 PROOF OF THEOREM
4.1 59 5 THE CASE OF (2,3)-MANIFOLDS 6 1 5.1 EXAMPLES OF (2,3)-MANIFOLDS
62 5.2 STRONGLY PSEUDOCONVEX ORBITS 79 5.3 LEVI-FLAT ORBITS 90 5.4
CODIMENSION 2 ORBITS 106 6 PROPER ACTIONS 121 6.1 GENERAL REMARKS 121
6.2 THE CASE G ~ U N 126 VIII CONTENTS 6.3 THE CASE G ~ SU N 12
REFERENCES 13 INDEX 13 |
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| author | Isaev, Alexander 1964- |
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| classification_tum | MAT 150f MAT 225f |
| ctrlnum | (OCoLC)255458171 (DE-599)BVBBV022305019 |
| dewey-full | 515.946 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.946 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| id | DE-604.BV022305019 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:56:27Z |
| indexdate | 2024-07-09T20:54:35Z |
| institution | BVB |
| isbn | 3540691510 9783540691518 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015514927 |
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| physical | VIII, 139 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Isaev, Alexander 1964- Verfasser (DE-588)129116424 aut Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds Alexander Isaev Berlin [u.a.] Springer 2007 VIII, 139 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1902 Holomorphe Automorphismengruppe swd Hyperbolische Mannigfaltigkeit - Holomorphe Automorphismengruppe Hyperbolische Mannigfaltigkeit swd Automorphisms Hyperbolic spaces Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd rswk-swf Holomorphe Automorphismengruppe (DE-588)4619932-9 gnd rswk-swf Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 s Holomorphe Automorphismengruppe (DE-588)4619932-9 s DE-604 Lecture notes in mathematics 1902 (DE-604)BV000676446 1902 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015514927&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Isaev, Alexander 1964- Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds Lecture notes in mathematics Holomorphe Automorphismengruppe swd Hyperbolische Mannigfaltigkeit - Holomorphe Automorphismengruppe Hyperbolische Mannigfaltigkeit swd Automorphisms Hyperbolic spaces Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd Holomorphe Automorphismengruppe (DE-588)4619932-9 gnd |
| subject_GND | (DE-588)4161044-1 (DE-588)4619932-9 |
| title | Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds |
| title_auth | Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds |
| title_exact_search | Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds |
| title_exact_search_txtP | Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds |
| title_full | Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds Alexander Isaev |
| title_fullStr | Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds Alexander Isaev |
| title_full_unstemmed | Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds Alexander Isaev |
| title_short | Lectures on the automorphism groups of Kobayashi-Hyberbolic manifolds |
| title_sort | lectures on the automorphism groups of kobayashi hyberbolic manifolds |
| topic | Holomorphe Automorphismengruppe swd Hyperbolische Mannigfaltigkeit - Holomorphe Automorphismengruppe Hyperbolische Mannigfaltigkeit swd Automorphisms Hyperbolic spaces Hyperbolische Mannigfaltigkeit (DE-588)4161044-1 gnd Holomorphe Automorphismengruppe (DE-588)4619932-9 gnd |
| topic_facet | Holomorphe Automorphismengruppe Hyperbolische Mannigfaltigkeit - Holomorphe Automorphismengruppe Hyperbolische Mannigfaltigkeit Automorphisms Hyperbolic spaces |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015514927&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT isaevalexander lecturesontheautomorphismgroupsofkobayashihyberbolicmanifolds |