Generalized manifolds: a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow, Essex
Longman
1997
|
| Series: | Pitman research notes in mathematics series
372 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 116 S. |
| ISBN: | 0582320003 |
Staff View
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| 100 | 1 | |a Schlesinger, Karl G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Generalized manifolds |b a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory |c Karl-Georg Schlesinger |
| 264 | 1 | |a Harlow, Essex |b Longman |c 1997 | |
| 300 | |a 116 S. | ||
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| 490 | 1 | |a Pitman research notes in mathematics series |v 372 | |
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| 650 | 7 | |a Variétés (mathématiques) |2 ram | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Manifolds (Mathematics) | |
| 650 | 4 | |a Twistor theory | |
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Record in the Search Index
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| adam_text | Contents
Contents
Preface
1 Introduction 1
1.1 Motivation and Overview 1
1.2 The basics of nonstandard analysis 5
1.3 Some notions of topological dynamics 14
1.4 Fundamentals of twistor theory 17
2 The case of nonstandard analogs of compact submanifolds of Rn 21
2.1 Completing the space of compact C submanifolds 21
2.2 Directly generalizing the submanifold concept 33
3 The general nonstandard manifold concept 39
3.1 The basic theory 39
3.2 Nonstandard analogs of the tangent bundle and of (Pseudo ) Rieman
nian structures 55
4 Some applications to nonstandard topological dynamics 65
5 The cohomology group Hl(M.9) 69
6 The question of stability of geodesic incompleteness 85
7 An application to twistor theory 97
A physical epilogue 105
List of symbols 107
Bibliography 111
Index 115
|
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| author | Schlesinger, Karl G. |
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| id | DE-604.BV013497371 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:51Z |
| institution | BVB |
| isbn | 0582320003 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009213033 |
| oclc_num | 37828981 |
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| physical | 116 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Schlesinger, Karl G. Verfasser aut Generalized manifolds a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory Karl-Georg Schlesinger Harlow, Essex Longman 1997 116 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 372 Differentiaalmeetkunde gtt Géométrie différentielle ram Manifolds gtt Twistoren theorie gtt Variétés (mathématiques) ram Geometry, Differential Manifolds (Mathematics) Twistor theory Pitman research notes in mathematics series 372 (DE-604)BV000022845 372 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009213033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schlesinger, Karl G. Generalized manifolds a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory Pitman research notes in mathematics series Differentiaalmeetkunde gtt Géométrie différentielle ram Manifolds gtt Twistoren theorie gtt Variétés (mathématiques) ram Geometry, Differential Manifolds (Mathematics) Twistor theory |
| title | Generalized manifolds a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory |
| title_auth | Generalized manifolds a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory |
| title_exact_search | Generalized manifolds a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory |
| title_full | Generalized manifolds a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory Karl-Georg Schlesinger |
| title_fullStr | Generalized manifolds a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory Karl-Georg Schlesinger |
| title_full_unstemmed | Generalized manifolds a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory Karl-Georg Schlesinger |
| title_short | Generalized manifolds |
| title_sort | generalized manifolds a generalized manifold theory with applications to dynamical systems general relativity and twistor theory |
| title_sub | a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory |
| topic | Differentiaalmeetkunde gtt Géométrie différentielle ram Manifolds gtt Twistoren theorie gtt Variétés (mathématiques) ram Geometry, Differential Manifolds (Mathematics) Twistor theory |
| topic_facet | Differentiaalmeetkunde Géométrie différentielle Manifolds Twistoren theorie Variétés (mathématiques) Geometry, Differential Manifolds (Mathematics) Twistor theory |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009213033&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT schlesingerkarlg generalizedmanifoldsageneralizedmanifoldtheorywithapplicationstodynamicalsystemsgeneralrelativityandtwistortheory |