Twistors and killing spinors on Riemannian manifolds:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | German |
| Veröffentlicht: |
Stuttgart [u.a.]
B. G. Teubner Verlagsgesellschaft
1991
|
| Schriftenreihe: | Teubner-Texte zur Mathematik
124 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 180 Seiten graph. Darst. |
| ISBN: | 3815420148 |
Internformat
MARC
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| 245 | 1 | 0 | |a Twistors and killing spinors on Riemannian manifolds |c Helga Baum [und 3 andere] |
| 264 | 1 | |a Stuttgart [u.a.] |b B. G. Teubner Verlagsgesellschaft |c 1991 | |
| 300 | |a 180 Seiten |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Teubner-Texte zur Mathematik |v 124 | |
| 650 | 4 | |a Algèbre Clifford | |
| 650 | 7 | |a Physique mathématique |2 ram | |
| 650 | 4 | |a Spineur Killing | |
| 650 | 4 | |a Twisteur | |
| 650 | 4 | |a Variété riemannienne | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 4 | |a Riemannian manifolds | |
| 650 | 4 | |a Spinor analysis | |
| 650 | 4 | |a Twistor theory | |
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Datensatz im Suchindex
| _version_ | 1804118654272405504 |
|---|---|
| adam_text | Contents
0. Introduction 7
Chapter 1: An Introduction to Killing and Twistor Spinors 11
1.1. The Spin Group and the Spinor Representation 11
1.2. The Spinor Calculus on Rienannian Spin Manifolds... 14
1.3. The Dirac Operator of a Rienannian Spin Manifold... 19
1.4. The Twistor Operator of a Rienannian Spin Manifold. 22
1.5. Killing Spinors on Rienannian Spin Manifolds 30
Chapter 2: The Properties of Twistor Spinors 39
2.1. The Zeros of a Twistor Spinor 39
2.2. The Solutions of the Twistor Equation on Warped
Products M2 2x R1 41
2.3. The First Integrals C ^ and Q p on ker(£) 44
2.4. A Characterization of Spaces of Constant Curvature. 47
2.5. The Equation ?xf+ ^ * ? 0 52
2.6. The Equation E 55
Chapter 3: A Survey of Twistor Theory 59
3.1. Two dinensional Confornal Geometry 59
3.2. The Curvature Tensor of a 4 dlnensional Manifold... 63
3.3. The Twistor Space of a 4 dinensional Manifold 64
3.4. A Holoaorphic Interpretation of the Twistor Equation 69
Chapter 4: Odd dinensional Rienannian Manifolds with Real
Killing Spinors 76
4.1. Contact Structures, Sasakian Manifolds 77
4.2. An Existence Theoren for Killing Spinors on Odd
dinensional Manifolds 82
4.3. Conpact 5 dinensional Rienannian Manifolds with
Killing Spinors 87
4.4. Conpact 7 dinensional Rienannian Manifolds with
Killing Spinors 97
4.5. An Exanple 109
4.6. 7 dinensional Rienannian Manifolds with one Real
Killing Spinor 116
Chapter S: Even diaensionel Rieaannian Manifolds with Real
Killing Splnors 120
5.1. Real Killing Splnors on Even dlaensional Rieaannian
Spin Manifolds 121
5.2. The Alaost Coaplex Structure Defined on a 6 diaenslonal
Manifold by a Real Killing Spinor 125
5.3. Nearly Kahler Manifolds In Dimension n 6 130
5.4. Examples 140
Chapter 6: Manifolds with Parallel Spinor Fields 149
Chapter 7: Rieaannian Manifolds with Iaaginary Killing Splnors.155
7.1. Iaaginary Killing Splnors of Type I and Type II.... 156
7.2. Coaplete Rieaannian Manifolds with Iaaglnary Killing
Spinors of Type II 159
7.3. Coaplete Rleaannlan Manifolds with Iaaginary Killing
Spinors of Type 1 162
7.4. Killing Spinors on 5 diaensional, Coaplete, Non
Coapact Manifolds 170
References 174
|
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| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV004514256 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:13:44Z |
| institution | BVB |
| isbn | 3815420148 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002781262 |
| oclc_num | 24768348 |
| open_access_boolean | |
| owner | DE-384 DE-739 DE-12 DE-355 DE-BY-UBR DE-20 DE-29T DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-188 DE-11 |
| owner_facet | DE-384 DE-739 DE-12 DE-355 DE-BY-UBR DE-20 DE-29T DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-188 DE-11 |
| physical | 180 Seiten graph. Darst. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | B. G. Teubner Verlagsgesellschaft |
| record_format | marc |
| series | Teubner-Texte zur Mathematik |
| series2 | Teubner-Texte zur Mathematik |
| spelling | Twistors and killing spinors on Riemannian manifolds Helga Baum [und 3 andere] Stuttgart [u.a.] B. G. Teubner Verlagsgesellschaft 1991 180 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik 124 Algèbre Clifford Physique mathématique ram Spineur Killing Twisteur Variété riemannienne Mathematische Physik Mathematical physics Riemannian manifolds Spinor analysis Twistor theory Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Twistor (DE-588)4186504-2 gnd rswk-swf Killingsches Vektorfeld (DE-588)4163778-1 gnd rswk-swf Spinorfeld (DE-588)4182330-8 gnd rswk-swf Spinor (DE-588)4182327-8 gnd rswk-swf Twistor (DE-588)4186504-2 s Riemannscher Raum (DE-588)4128295-4 s DE-604 Killingsches Vektorfeld (DE-588)4163778-1 s Spinor (DE-588)4182327-8 s Spinorfeld (DE-588)4182330-8 s Baum, Helga 1954- Sonstige (DE-588)171968131 oth Teubner-Texte zur Mathematik 124 (DE-604)BV000012607 124 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002781262&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Twistors and killing spinors on Riemannian manifolds Teubner-Texte zur Mathematik Algèbre Clifford Physique mathématique ram Spineur Killing Twisteur Variété riemannienne Mathematische Physik Mathematical physics Riemannian manifolds Spinor analysis Twistor theory Riemannscher Raum (DE-588)4128295-4 gnd Twistor (DE-588)4186504-2 gnd Killingsches Vektorfeld (DE-588)4163778-1 gnd Spinorfeld (DE-588)4182330-8 gnd Spinor (DE-588)4182327-8 gnd |
| subject_GND | (DE-588)4128295-4 (DE-588)4186504-2 (DE-588)4163778-1 (DE-588)4182330-8 (DE-588)4182327-8 |
| title | Twistors and killing spinors on Riemannian manifolds |
| title_auth | Twistors and killing spinors on Riemannian manifolds |
| title_exact_search | Twistors and killing spinors on Riemannian manifolds |
| title_full | Twistors and killing spinors on Riemannian manifolds Helga Baum [und 3 andere] |
| title_fullStr | Twistors and killing spinors on Riemannian manifolds Helga Baum [und 3 andere] |
| title_full_unstemmed | Twistors and killing spinors on Riemannian manifolds Helga Baum [und 3 andere] |
| title_short | Twistors and killing spinors on Riemannian manifolds |
| title_sort | twistors and killing spinors on riemannian manifolds |
| topic | Algèbre Clifford Physique mathématique ram Spineur Killing Twisteur Variété riemannienne Mathematische Physik Mathematical physics Riemannian manifolds Spinor analysis Twistor theory Riemannscher Raum (DE-588)4128295-4 gnd Twistor (DE-588)4186504-2 gnd Killingsches Vektorfeld (DE-588)4163778-1 gnd Spinorfeld (DE-588)4182330-8 gnd Spinor (DE-588)4182327-8 gnd |
| topic_facet | Algèbre Clifford Physique mathématique Spineur Killing Twisteur Variété riemannienne Mathematische Physik Mathematical physics Riemannian manifolds Spinor analysis Twistor theory Riemannscher Raum Twistor Killingsches Vektorfeld Spinorfeld Spinor |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002781262&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT baumhelga twistorsandkillingspinorsonriemannianmanifolds |