Harmonic maps into homogeneous spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman, Scientific & Technical
1991
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
255 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 92 S. |
| ISBN: | 0582087651 047021807X |
Internformat
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| 245 | 1 | 0 | |a Harmonic maps into homogeneous spaces |c Malcolm Black |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
CHAPTER 1 INTRODUCTION
§1.1 Harmonic Maps 1
§1.2 Two Dimensional Domains 2
§1.3 Maps Into Symmetric Spaces 3
§1.4 Flag Manifolds 6
§1.5 S ummary of Contents 7
CHAPTER 2 HOMOGENEOUS GEOMETRY
§2.1 Generalities 10
§2.2 Reductive Splittings 13
§2.3 Distinct Reductive Summands 14
§2.4 Invariant Tensors 16
§2.5 The Levi Civita Connection 18
§2.6 Roots 20
§2.8 Nbther s Theorem 23
CHAPTER 3 f STRUCTURES AND f HOLOMORPHIC MAPS 24
CHAPTER 4 f STRUCTURES ON REDUCTIVE HOMOGENEOUS
SPACES
§4.1 f Structures and Metrics 28
§4.2 Horizontality 32
§4.3 Example: SU(n) Hag Manifolds 33
CHAPTER 5 EQUI HARMONIC MAPS 35
CHAPTER 6 CLASSIFICATION OF HORIZONTAL f STRUCTURES ON
FLAG MANIFOLDS
§6.1 Algebraic Preliminaries 39
§6.2 Reduction to the Irreducible Case 41
§6.3 Characterization of Irreducible f Structures I 50
§6.4 Characterization of Irreducible f Structures II 53
§6.5 Summary and Examples 62
CHAPTER 7 INTEGRABLE f HOLOMORPHIC ORBITS ON FLAGS
§7.1 Integrable Orbits are Hermitian Symmetric 69
§7.2 Orbits in the Full Flag Manifold 71
§7.3 Case 6.13B.: F+ = {£ g« : n(a) = 1 mod (n( a0) + 1)} 74
§7.4 Case 6.13A.: F+ = {£ g : n(a) = 1} 75
§7.5 Concluding Remarks 77
CHAPTER 8 EQUI MINIMAL MAPS OF RIEMANN SURFACES TO
FULL FLAG MANIFOLDS
§8.1 Equi Minimal Maps are Horizontal Holomorphic 79
§8.2 Branched Horizontal Curves in Full Flags 86
REFERENCES 90
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| any_adam_object | 1 |
| author | Black, Malcolm |
| author_facet | Black, Malcolm |
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| ctrlnum | (OCoLC)889209788 (DE-599)BVBBV004730659 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV004730659 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:16:49Z |
| institution | BVB |
| isbn | 0582087651 047021807X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002909450 |
| oclc_num | 889209788 |
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| physical | 92 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Longman, Scientific & Technical |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Black, Malcolm Verfasser aut Harmonic maps into homogeneous spaces Malcolm Black 1. publ. Harlow, Essex Longman, Scientific & Technical 1991 92 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 255 Harmonische Abbildung (DE-588)4023452-6 gnd rswk-swf Homogener Raum (DE-588)4025787-3 gnd rswk-swf Harmonische Abbildung (DE-588)4023452-6 s Homogener Raum (DE-588)4025787-3 s DE-604 Pitman research notes in mathematics series 255 (DE-604)BV000022845 255 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002909450&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Black, Malcolm Harmonic maps into homogeneous spaces Pitman research notes in mathematics series Harmonische Abbildung (DE-588)4023452-6 gnd Homogener Raum (DE-588)4025787-3 gnd |
| subject_GND | (DE-588)4023452-6 (DE-588)4025787-3 |
| title | Harmonic maps into homogeneous spaces |
| title_auth | Harmonic maps into homogeneous spaces |
| title_exact_search | Harmonic maps into homogeneous spaces |
| title_full | Harmonic maps into homogeneous spaces Malcolm Black |
| title_fullStr | Harmonic maps into homogeneous spaces Malcolm Black |
| title_full_unstemmed | Harmonic maps into homogeneous spaces Malcolm Black |
| title_short | Harmonic maps into homogeneous spaces |
| title_sort | harmonic maps into homogeneous spaces |
| topic | Harmonische Abbildung (DE-588)4023452-6 gnd Homogener Raum (DE-588)4025787-3 gnd |
| topic_facet | Harmonische Abbildung Homogener Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002909450&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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