An introduction to Dirac operators on manifolds:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2002
|
| Schriftenreihe: | Progress in mathematical physics
24 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | X, 211 S. |
| ISBN: | 0817642986 3764342986 |
Internformat
MARC
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| 020 | |a 0817642986 |9 0-8176-4298-6 | ||
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| 040 | |a DE-604 |b ger |e aacr | ||
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| 100 | 1 | |a Cnops, Jan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An introduction to Dirac operators on manifolds |c Jan Cnops |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2002 | |
| 300 | |a X, 211 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematical physics |v 24 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Algebras de Clifford | |
| 650 | 4 | |a Física matemática | |
| 650 | 4 | |a Teoría cuántica | |
| 650 | 4 | |a Variedades (Matemáticas) | |
| 650 | 0 | 7 | |a Clifford-Algebra |0 (DE-588)4199958-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dirac-Operator |0 (DE-588)4150118-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Clifford-Algebra |0 (DE-588)4199958-7 |D s |
| 689 | 0 | 1 | |a Dirac-Operator |0 (DE-588)4150118-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Dirac-Operator |0 (DE-588)4150118-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Progress in mathematical physics |v 24 |w (DE-604)BV013823265 |9 24 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009878957&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009878957 | |
Datensatz im Suchindex
| _version_ | 1808045335475388416 |
|---|---|
| adam_text |
CONTENTS
PREFACE
VII
1
CLIFFORD
ALGEBRAS
1
1
DEFINITION
AND
BASIC
PROPERTIES
.
2
2
DOT
AND
WEDGE
PRODUCTS
.
7
3
EXAMPLES
OF
CLIFFORD
ALGEBRAS
.
13
4
MODULES
OVER
CLIFFORD
ALGEBRAS
.
14
5
SUBGROUPS
.
17
2
MANIFOLDS
25
1
MANIFOLDS
.
27
2
DERIVATIVES
AND
DIFFERENTIALS
.
28
3
THE
SPIN
GROUP
AS
A
LIE
GROUP
.
32
4
EXTERIOR
DERIVATIVES
AND
CURVATURE
.
38
5
SPINORS
.
47
6
SPINOR
FIELDS
.
53
3
DIRAC
OPERATORS
61
1
THE
VECTOR
DERIVATIVE
.
67
2
THE
SPINOR
DIRAC
OPERATOR
.
73
3
THE
HODGE-DIRAC
OPERATOR
.
79
4
GRADIENT,
DIVERGENCE
AND
LAPLACE
OPERATORS
.
81
4
CONFORMAL
MAPS
91
1
MOBIUS
TRANSFORMATIONS
.
93
2
LIOUVILLE
'
S
THEOREM
.
103
3
CONFORMAL
EMBEDDINGS
.
108
4
MAPS
BETWEEN
MANIFOLDS
.
115
VI
CONTENTS
5
UNIQUE
CONTINUATION
AND
THE
CAUCHY
KERNEL
123
1
THE
UNIQUE
CONTINUATION
PROPERTY
.
124
2
SOBOLEV
SPACES
.
132
3
THE
CAUCHY
KERNEL
.
138
4
THE
CASE
OF
EUCLIDEAN
SPACE
.
141
6
BOUNDARY
VALUES
145
1
THE
CAUCHY
TRANSFORM
.
146
2
BOUNDARY
VALUES
AND
BOUNDARY
SPINORS
.
160
3
BOUNDARY
SPINORS
AND
INTEGRAL
OPERATORS
.
167
APPENDIX.
GENERAL
MANIFOLDS
171
1
VECTOR
BUNDLES
.
175
2
CONNECTIONS
.
177
3
CONNECTIONS
ON
SO(M)
.
187
4
SPINOR
BUNDLES
.
190
BIBLIOGRAPHY
195
LIST
OF
SYMBOLS
205
INDEX
209 |
| any_adam_object | 1 |
| author | Cnops, Jan |
| author_facet | Cnops, Jan |
| author_role | aut |
| author_sort | Cnops, Jan |
| author_variant | j c jc |
| building | Verbundindex |
| bvnumber | BV014478759 |
| classification_rvk | SK 370 SK 620 SK 950 |
| ctrlnum | (OCoLC)318378529 (DE-599)BVBBV014478759 |
| dewey-full | 512.57 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.57 |
| dewey-search | 512.57 |
| dewey-sort | 3512.57 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014478759 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-22T00:26:37Z |
| institution | BVB |
| isbn | 0817642986 3764342986 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009878957 |
| oclc_num | 318378529 |
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| owner_facet | DE-355 DE-BY-UBR DE-384 DE-29T DE-11 DE-188 |
| physical | X, 211 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematical physics |
| series2 | Progress in mathematical physics |
| spelling | Cnops, Jan Verfasser aut An introduction to Dirac operators on manifolds Jan Cnops Boston [u.a.] Birkhäuser 2002 X, 211 S. txt rdacontent n rdamedia nc rdacarrier Progress in mathematical physics 24 Includes bibliographical references and index Algebras de Clifford Física matemática Teoría cuántica Variedades (Matemáticas) Clifford-Algebra (DE-588)4199958-7 gnd rswk-swf Dirac-Operator (DE-588)4150118-4 gnd rswk-swf Clifford-Algebra (DE-588)4199958-7 s Dirac-Operator (DE-588)4150118-4 s DE-604 Progress in mathematical physics 24 (DE-604)BV013823265 24 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009878957&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cnops, Jan An introduction to Dirac operators on manifolds Progress in mathematical physics Algebras de Clifford Física matemática Teoría cuántica Variedades (Matemáticas) Clifford-Algebra (DE-588)4199958-7 gnd Dirac-Operator (DE-588)4150118-4 gnd |
| subject_GND | (DE-588)4199958-7 (DE-588)4150118-4 |
| title | An introduction to Dirac operators on manifolds |
| title_auth | An introduction to Dirac operators on manifolds |
| title_exact_search | An introduction to Dirac operators on manifolds |
| title_full | An introduction to Dirac operators on manifolds Jan Cnops |
| title_fullStr | An introduction to Dirac operators on manifolds Jan Cnops |
| title_full_unstemmed | An introduction to Dirac operators on manifolds Jan Cnops |
| title_short | An introduction to Dirac operators on manifolds |
| title_sort | an introduction to dirac operators on manifolds |
| topic | Algebras de Clifford Física matemática Teoría cuántica Variedades (Matemáticas) Clifford-Algebra (DE-588)4199958-7 gnd Dirac-Operator (DE-588)4150118-4 gnd |
| topic_facet | Algebras de Clifford Física matemática Teoría cuántica Variedades (Matemáticas) Clifford-Algebra Dirac-Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009878957&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013823265 |
| work_keys_str_mv | AT cnopsjan anintroductiontodiracoperatorsonmanifolds |