Parabolic geometries: I Background and general theory
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2009]
|
| Schriftenreihe: | Mathematical surveys and monographs
Volume 154 |
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | x, 628 Seiten |
| ISBN: | 9780821826812 |
Internformat
MARC
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| 490 | 0 | |a Mathematical surveys and monographs | |
| 650 | 4 | |a Conformal geometry | |
| 650 | 4 | |a Geometry, Projective | |
| 650 | 4 | |a Partial differential operators | |
| 700 | 1 | |a Slovák, Jan |d 1960- |e Verfasser |0 (DE-588)139600515 |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804140793280069632 |
|---|---|
| adam_text | Contents
Preface
Vil
Part
1.
Background
1
Chapter
1.
Cartan geometries
3
1.1.
Prologue
—
a few examples of homogeneous spaces
4
1.2.
Some background from differential geometry
15
1.3.
A survey on connections
35
1.4.
Geometry of homogeneous spaces
49
1.5.
Cartan connections
70
1.6.
Conformai
Riemannian structures
112
Chapter
2. Semisimple
Lie algebras and Lie groups
141
2.1.
Basic structure theory of Lie algebras
141
2.2.
Complex
semisimple
Lie algebras and their representations
160
2.3.
Real
semisimple
Lie algebras and their representations
199
Part
2.
General theory
231
Chapter
3.
Parabolic geometries
233
3.1.
Underlying structures and normalization
234
3.2.
Structure theory and classification
290
3.3.
Kostant s version of the Bott-Borel-Weil theorem
339
Historical remarks and references for Chapter
3 360
Chapter
4.
A panorama of examples
363
4.1.
Structures corresponding to | ll-gradings
363
4.2.
Parabolic contact structures
402
4.3.
Examples of general parabolic geometries
426
4.4.
Correspondence spaces and twistor spaces
455
4.5.
Analogs of the Fefferman construction
478
Chapter
5.
Distinguished connections and curves
497
5.1.
Weyl structures and scales
498
5.2.
Characterization of Weyl structures
517
5.3.
Canonical curves
558
vi
CONTENTS
Appendix A. Other prolongation procedures
599
Appendix B. Tables
607
Bibliography
617
Index
623
|
| any_adam_object | 1 |
| author | Čap, Andreas 1965- Slovák, Jan 1960- |
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| discipline | Mathematik |
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| id | DE-604.BV035830926 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:05:37Z |
| institution | BVB |
| isbn | 9780821826812 |
| language | English |
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| physical | x, 628 Seiten |
| publishDate | 2009 |
| publishDateSearch | 2009 |
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| publisher | American Mathematical Society |
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| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Čap, Andreas 1965- Verfasser (DE-588)139600396 aut Parabolic geometries I Background and general theory Andreas Čap ; Jan Slovák Providence, Rhode Island American Mathematical Society [2009] x, 628 Seiten txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs Volume 154 Mathematical surveys and monographs Conformal geometry Geometry, Projective Partial differential operators Slovák, Jan 1960- Verfasser (DE-588)139600515 aut (DE-604)BV035830907 1 Erscheint auch als Online-Ausgabe 978-1-4704-1381-1 Mathematical surveys and monographs Volume 154 (DE-604)BV000018014 154 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018689461&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018689461&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Čap, Andreas 1965- Slovák, Jan 1960- Parabolic geometries Mathematical surveys and monographs Conformal geometry Geometry, Projective Partial differential operators |
| title | Parabolic geometries |
| title_auth | Parabolic geometries |
| title_exact_search | Parabolic geometries |
| title_full | Parabolic geometries I Background and general theory Andreas Čap ; Jan Slovák |
| title_fullStr | Parabolic geometries I Background and general theory Andreas Čap ; Jan Slovák |
| title_full_unstemmed | Parabolic geometries I Background and general theory Andreas Čap ; Jan Slovák |
| title_short | Parabolic geometries |
| title_sort | parabolic geometries background and general theory |
| topic | Conformal geometry Geometry, Projective Partial differential operators |
| topic_facet | Conformal geometry Geometry, Projective Partial differential operators |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018689461&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018689461&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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