Conformal differential geometry: Q-curvature and conformal holonomy
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2010
|
| Series: | Oberwolfach Seminars
40 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 152 S. |
| ISBN: | 9783764399085 |
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| 245 | 1 | 0 | |a Conformal differential geometry |b Q-curvature and conformal holonomy |c Helga Baum ; Andreas Juhl |
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Record in the Search Index
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| adam_text | Titel: Conformal differential geometry
Autor: Baum, Helga
Jahr: 2010
Contents
Preface vii
1 Q-curvature 1
1.1 The flat model of conformal geometry................ 1
1.2 Q-curvature of order 4......................... 5
1.3 G.IMS-operators and Branson s Q-eurvatures............ 21
1.4 Scattering theory............................ 31
1.5 Residue families and the holographic formula for Q?........ 16
1.6 Recursive structures.......................... 59
2 Conformal holonomy 79
2.1 Cartan connections and holonomy groups.............. 79
2.2 Holonomy groups of conformal structures.............. s9
2.2.1 The first prolongation of the coiifonnal frame bundle . . . . 90
2.2.2 The normal conformal Cartan connection invariant form . 94
2.2.3 The normal conformal Cartan connection metric form . . 07
2.2.4 The tractor connection and its curvature........... 99
2.3 Conformal holonomy and Einstein metrics.............. 103
2.4 Classification results for Riemannian and Lorentzian conformal
holonomy groups............................ 109
2.5 Conformal holonomy and conformal Killing forms.......... Ill
2.6 Conformal holonomy and conformal Killing spinors......... 115
2.7 Lorentzian conformal structures with holonomy group SU(1. »/) . . 12*
2.7.1 CR geometry and Fefferman spaces.............. 129
2.7.2 Conformal holonomy of Fefferman spaces.......... 135
2.S Further results............................. 137
Bibliography 139
|
| any_adam_object | 1 |
| author | Baum, Helga 1954- Juhl, Andreas |
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| callnumber-first | Q - Science |
| callnumber-label | QA609 |
| callnumber-raw | QA609 |
| callnumber-search | QA609 |
| callnumber-sort | QA 3609 |
| callnumber-subject | QA - Mathematics |
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| classification_tum | MAT 539f |
| ctrlnum | (OCoLC)463642780 (DE-599)BVBBV035951825 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
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| discipline | Mathematik |
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| spelling | Baum, Helga 1954- Verfasser (DE-588)171968131 aut Conformal differential geometry Q-curvature and conformal holonomy Helga Baum ; Andreas Juhl Basel [u.a.] Birkhäuser 2010 X, 152 S. txt rdacontent n rdamedia nc rdacarrier Oberwolfach Seminars 40 Conformal geometry Geometry, Differential Konforme Differentialgeometrie (DE-588)4206468-5 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Konforme Differentialgeometrie (DE-588)4206468-5 s DE-604 Juhl, Andreas Verfasser aut Erscheint auch als Online-Ausgabe 978-3-7643-9909-2 Oberwolfach Seminars 40 (DE-604)BV019806550 40 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018808874&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baum, Helga 1954- Juhl, Andreas Conformal differential geometry Q-curvature and conformal holonomy Oberwolfach Seminars Conformal geometry Geometry, Differential Konforme Differentialgeometrie (DE-588)4206468-5 gnd |
| subject_GND | (DE-588)4206468-5 (DE-588)4143413-4 |
| title | Conformal differential geometry Q-curvature and conformal holonomy |
| title_auth | Conformal differential geometry Q-curvature and conformal holonomy |
| title_exact_search | Conformal differential geometry Q-curvature and conformal holonomy |
| title_full | Conformal differential geometry Q-curvature and conformal holonomy Helga Baum ; Andreas Juhl |
| title_fullStr | Conformal differential geometry Q-curvature and conformal holonomy Helga Baum ; Andreas Juhl |
| title_full_unstemmed | Conformal differential geometry Q-curvature and conformal holonomy Helga Baum ; Andreas Juhl |
| title_short | Conformal differential geometry |
| title_sort | conformal differential geometry q curvature and conformal holonomy |
| title_sub | Q-curvature and conformal holonomy |
| topic | Conformal geometry Geometry, Differential Konforme Differentialgeometrie (DE-588)4206468-5 gnd |
| topic_facet | Conformal geometry Geometry, Differential Konforme Differentialgeometrie Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018808874&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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