Riemannian metrics of constant mass and moduli spaces of conformal structures:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London
Springer
2000
|
| Series: | Lecture notes in mathematics
1743 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 116 S. |
| ISBN: | 3540679871 |
Staff View
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Record in the Search Index
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| adam_text | Contents
1. Preliminaries 1
1.1 Geometric preliminaries 1
1.2 Analytic preliminaries 6
2. A canonical metric for flat conformal manifolds 11
2.1 Motivation of the approach 12
2.2 The conformal Laplacian 16
2.3 Definition and basic properties 22
2.4 The metrics of Apanasov Kulkarni Pinkall and Nayatani ... 25
3. Kleinian groups and moduli spaces 33
3.1 Description of the canonical metric by Kleinian groups 33
3.2 Moduli spaces of flat conformal structures 38
3.3 The geometry of B£{Sl x S2) 45
4. Asymptotics: The flat case 55
4.1 Degenerating flat conformal structures 55
4.2 The behavior near scalar flat structures 70
4.3 Consequences for the geometry of Bq(M) 74
5. Generalization in low dimensions 83
5.1 The canonical metric as metric of constant mass 83
5.2 The canonical metric: The general case 88
5.3 The regularity of the canonical metric 97
XII Contents
6. The moduli space of all conformal structures 101
6.1 The generalized metric near scalar flat structures 101
6.2 Infinite distance components of the boundary 105
References 109
Index 115
|
| any_adam_object | 1 |
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| dewey-full | 510 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510 516.3/5 |
| dewey-search | 510 516.3/5 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013309300 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:43:33Z |
| institution | BVB |
| isbn | 3540679871 |
| language | English |
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| physical | XII, 116 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Habermann, Lutz 1959- Verfasser (DE-588)121640450 aut Riemannian metrics of constant mass and moduli spaces of conformal structures Lutz Habermann Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London Springer 2000 XII, 116 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1743 Differentiaalmeetkunde gtt Geometria diferencial larpcal Géométrie conforme Modules, Théorie des Riemann-metriek gtt Conformal geometry Moduli theory Konforme Struktur (DE-588)4500911-9 gnd rswk-swf Modulraum (DE-588)4183462-8 gnd rswk-swf Riemannsche Metrik (DE-588)4294399-1 gnd rswk-swf Konforme Struktur (DE-588)4500911-9 s Riemannsche Metrik (DE-588)4294399-1 s Modulraum (DE-588)4183462-8 s DE-604 Lecture notes in mathematics 1743 (DE-604)BV000676446 1743 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009074768&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Habermann, Lutz 1959- Riemannian metrics of constant mass and moduli spaces of conformal structures Lecture notes in mathematics Differentiaalmeetkunde gtt Geometria diferencial larpcal Géométrie conforme Modules, Théorie des Riemann-metriek gtt Conformal geometry Moduli theory Konforme Struktur (DE-588)4500911-9 gnd Modulraum (DE-588)4183462-8 gnd Riemannsche Metrik (DE-588)4294399-1 gnd |
| subject_GND | (DE-588)4500911-9 (DE-588)4183462-8 (DE-588)4294399-1 |
| title | Riemannian metrics of constant mass and moduli spaces of conformal structures |
| title_auth | Riemannian metrics of constant mass and moduli spaces of conformal structures |
| title_exact_search | Riemannian metrics of constant mass and moduli spaces of conformal structures |
| title_full | Riemannian metrics of constant mass and moduli spaces of conformal structures Lutz Habermann |
| title_fullStr | Riemannian metrics of constant mass and moduli spaces of conformal structures Lutz Habermann |
| title_full_unstemmed | Riemannian metrics of constant mass and moduli spaces of conformal structures Lutz Habermann |
| title_short | Riemannian metrics of constant mass and moduli spaces of conformal structures |
| title_sort | riemannian metrics of constant mass and moduli spaces of conformal structures |
| topic | Differentiaalmeetkunde gtt Geometria diferencial larpcal Géométrie conforme Modules, Théorie des Riemann-metriek gtt Conformal geometry Moduli theory Konforme Struktur (DE-588)4500911-9 gnd Modulraum (DE-588)4183462-8 gnd Riemannsche Metrik (DE-588)4294399-1 gnd |
| topic_facet | Differentiaalmeetkunde Geometria diferencial Géométrie conforme Modules, Théorie des Riemann-metriek Conformal geometry Moduli theory Konforme Struktur Modulraum Riemannsche Metrik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009074768&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT habermannlutz riemannianmetricsofconstantmassandmodulispacesofconformalstructures |