Differentialgeometrie und homogene Räume:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Wiesbaden
Springer Spektrum
2014
|
| Series: | Lehrbuch
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. [231] - 235 |
| Physical Description: | X, 240 S. Ill., graph. Darst. |
| ISBN: | 9783834815699 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804152701922050048 |
|---|---|
| adam_text | INHALTSVERZEICHNIS
VORWORT V
ABHAENGIGKEIT DER ABSCHNITTE VONEINANDER VIII
1 MANNIGFALTIGKEITEN 1
1.1 UNTERMANNIGFALTIGKEITEN DES EUKLIDISCHEN RAUMS 1
1.2 GLATTE MANNIGFALTIGKEITEN 5
1.3 ERSTE BESCHREIBUNG DES TANGENTIALBUENDELS: VIA KARTEN 12
1.4 ZWEITE BESCHREIBUNG DES TANGENTIALBUENDELS: DERIVATIONEN 16
1.5 DRITTE BESCHREIBUNG DES TANGENTIALBUENDELS: FLUESSE 22
1.6 LIE-GRUPPEN 26
2 VEKTORBUENDEL UND TENSOREN 35
2.1 VEKTORBUENDEL 35
2.2 TENSOREN 40
2.3 AEUSSERE ALGEBRA 46
2.4 DE RHAM-KOHOMOLOGIE 52
2.5 INTEGRATION 55
3 RIEMANNSCHE MANNIGFALTIGKEITEN 61
3.1 RIEMANNSCHE METRIKEN 61
3.2 ZUSAMMENHAENGE UND KRUEMMUNGEN 70
3.3 DER LEVI-CIVITA-ZUSAMMENHANG 76
3.4 KRUEMMUNG EINER RIEMANNSCHEN MANNIGFALTIGKEIT 82
4 DER SATZ VON POINCARE-HOPF 87
4.1 DIE MATHAI-QUILLEN-THOM-FORM 87
4.2 DIE EULERKLASSE 90
5 GEODAETISCHE 97
5.1 IMMERSIONEN 97
5.2 GEODAETISCHE NORMALKOORDINATEN 103
5.3 DER SATZ VON HOPF-RINOW 118
HTTP://D-NB.INFO/1013650530
X
INHALTSVERZEICHNIS
6 HOMOGENE RAEUME 123
6.1 DER HYPERBOLISCHE RAUM 123
6.2 DER SATZ VON CARTAN UND RAEUME KONSTANTER KRUEMMUNG 129
6.3 RIEMANNSCHE SUBMERSIONEN 131
6.4 QUOTIENTEN 140
6.5 DISKRETE FASERN 145
6.6 LINKSINVARIANTE METRIKEN AUF LIE-GRUPPEN 149
6.7 HOMOGENE RAEUME 151
6.8 BIINVARIANTE METRIKEN AUF LIE-GRUPPEN . . 164
7 SYMMETRISCHE RAEUME 169
7.1 DEFINITIONEN 169
7.2 DER SATZ VON CARTAN-AMBROSE-HICKS 173
7.3 SYMMETRISCHE RAEUME UND GRUPPENINVOLUTIONEN 176
7.4 KOMPAKTER UND NICHT-KOMPAKTER TYP 184
7.5 ISOTROPIE-IRREDUZIBLE RAEUME 187
8 ALLGEMEINE RELATIVITAETSTHEORIE 191
8.1 KONSTANTE LICHTGESCHWINDIGKEIT 192
8.2 DIE LORENTZ-GRUPPE 197
8.3 ADJUNGIERTE VON ZUSAMMENHAENGEN 199
8.4 HERLEITUNG DER HILBERT-WIRKUNG 202
8.5 FREIE TEILCHEN 206
8.6 DER SPANNUNGS-ENERGIE-TENSOR 208
8.7 ELEKTROMAGNETISMUS 212
A LOESUNGEN ZU AUSGEWAEHLTEN UEBUNGSAUFGABEN 217
LITERATURVERZEICHNIS 231
INDEX 235
|
| any_adam_object | 1 |
| author | Köhler, Kai |
| author_GND | (DE-588)1056051116 |
| author_facet | Köhler, Kai |
| author_role | aut |
| author_sort | Köhler, Kai |
| author_variant | k k kk |
| building | Verbundindex |
| bvnumber | BV042188732 |
| classification_rvk | SK 370 |
| ctrlnum | (OCoLC)897124760 (DE-599)DNB1013650530 |
| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV042188732 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:14:54Z |
| institution | BVB |
| isbn | 9783834815699 |
| language | German |
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| physical | X, 240 S. Ill., graph. Darst. |
| publishDate | 2014 |
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| spelling | Köhler, Kai Verfasser (DE-588)1056051116 aut Differentialgeometrie und homogene Räume Kai Köhler Wiesbaden Springer Spektrum 2014 X, 240 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lehrbuch Literaturverz. S. [231] - 235 Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Homogener Raum (DE-588)4025787-3 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Differentialgeometrie (DE-588)4012248-7 s Homogener Raum (DE-588)4025787-3 s 1\p DE-604 DE-604 Erscheint auch als Online-Ausgabe 978-3-8348-8313-1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027627815&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Köhler, Kai Differentialgeometrie und homogene Räume Differentialgeometrie (DE-588)4012248-7 gnd Homogener Raum (DE-588)4025787-3 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4025787-3 (DE-588)4123623-3 |
| title | Differentialgeometrie und homogene Räume |
| title_auth | Differentialgeometrie und homogene Räume |
| title_exact_search | Differentialgeometrie und homogene Räume |
| title_full | Differentialgeometrie und homogene Räume Kai Köhler |
| title_fullStr | Differentialgeometrie und homogene Räume Kai Köhler |
| title_full_unstemmed | Differentialgeometrie und homogene Räume Kai Köhler |
| title_short | Differentialgeometrie und homogene Räume |
| title_sort | differentialgeometrie und homogene raume |
| topic | Differentialgeometrie (DE-588)4012248-7 gnd Homogener Raum (DE-588)4025787-3 gnd |
| topic_facet | Differentialgeometrie Homogener Raum Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027627815&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kohlerkai differentialgeometrieundhomogeneraume |