A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
1996
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 82, [8] S. |
Internformat
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Datensatz im Suchindex
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CONTENTS
PREFACE VII
CONTENTS IX
1 INTRODUCTION 1
1.1 MOTIVATION AND OVERVIEW. 1
1.2 THE BASICS OF NONSTANDARD ANALYSIS.V. 4
1.3 SOME NOTIONS OF TOPOLOGICAL DYNAMICS . 10
1.4 FUNDAMENTALS OF TWISTOR THEORY. 12
2 THE CASE OF NONSTANDARD ANALOGS OF COMPACT SUBMANIFOLDS OF R" 15
2.1 COMPLETING THE SPACE OF COMPACT (^-SUBMANIFOLDS. 15
2.2 DIRECTLY GENERALIZING THE SUBMANIFOLD CONCEPT. 25
3 THE GENERAL NONSTANDARD MANIFOLD CONCEPT 29
3.1 THE BASIC THEORY. 29
3.2 NONSTANDARD ANALOGS OF THE TANGENT BUNDLE AND OF (PSEUDO-)
RIEMANNIAN STRUCTURES 41
4 SOME APPLICATIONS TO NONSTANDARD TOPOLOGICAL DYNAMICS 49
5 THE COHOMOLOGY GROUP
H1(M, 0)
53
6 THE QUESTION OF STABILITY OF GEODESIC INCOMPLETENESS 65
7 AN APPLICATION TO TWISTOR THEORY 75
A PHYSICAL EPILOGUE 81
NOTATION 83
BIBLIOGRAPHY 87
INDEX
89
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/948492708 |
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| discipline | Physik Mathematik |
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| indexdate | 2024-10-09T16:11:55Z |
| institution | BVB |
| language | German |
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| physical | 82, [8] S. |
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| spelling | Schlesinger, Karl-Georg Verfasser aut A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory vorgelegt von Karl-Georg Schlesinger 1996 82, [8] S. txt rdacontent n rdamedia nc rdacarrier Wuppertal, Univ., Diss., 1996 Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Twistor (DE-588)4186504-2 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf Nichtkompakte Mannigfaltigkeit (DE-588)4377211-0 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Nichtkompakte Mannigfaltigkeit (DE-588)4377211-0 s Nonstandard-Analysis (DE-588)4137021-1 s Topologische Dynamik (DE-588)4253345-4 s Twistor (DE-588)4186504-2 s Allgemeine Relativitätstheorie (DE-588)4112491-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007390277&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schlesinger, Karl-Georg A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory Topologische Dynamik (DE-588)4253345-4 gnd Twistor (DE-588)4186504-2 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd Nichtkompakte Mannigfaltigkeit (DE-588)4377211-0 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| subject_GND | (DE-588)4253345-4 (DE-588)4186504-2 (DE-588)4137021-1 (DE-588)4377211-0 (DE-588)4112491-1 (DE-588)4113937-9 |
| title | A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory |
| title_auth | A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory |
| title_exact_search | A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory |
| title_full | A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory vorgelegt von Karl-Georg Schlesinger |
| title_fullStr | A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory vorgelegt von Karl-Georg Schlesinger |
| title_full_unstemmed | A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory vorgelegt von Karl-Georg Schlesinger |
| title_short | A generalized manifold theory with applications to dynamical systems, general relativity, and twistor theory |
| title_sort | a generalized manifold theory with applications to dynamical systems general relativity and twistor theory |
| topic | Topologische Dynamik (DE-588)4253345-4 gnd Twistor (DE-588)4186504-2 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd Nichtkompakte Mannigfaltigkeit (DE-588)4377211-0 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| topic_facet | Topologische Dynamik Twistor Nonstandard-Analysis Nichtkompakte Mannigfaltigkeit Allgemeine Relativitätstheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007390277&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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