Generalized manifolds: a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman
1997
|
| Schriftenreihe: | Pitman research notes in mathematics series
372 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 116 S. |
| ISBN: | 0582320003 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV013497371 | ||
| 003 | DE-604 | ||
| 005 | 20090407 | ||
| 007 | t | ||
| 008 | 001215s1997 |||| 00||| eng d | ||
| 020 | |a 0582320003 |9 0-582-32000-3 | ||
| 035 | |a (OCoLC)37828981 | ||
| 035 | |a (DE-599)BVBBV013497371 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-19 |a DE-11 | ||
| 050 | 0 | |a QA613 | |
| 082 | 0 | |a 516.36 |2 21 | |
| 084 | |a SI 880 |0 (DE-625)143209: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 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. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pitman research notes in mathematics series |v 372 | |
| 650 | 7 | |a Differentiaalmeetkunde |2 gtt | |
| 650 | 7 | |a Géométrie différentielle |2 ram | |
| 650 | 7 | |a Manifolds |2 gtt | |
| 650 | 7 | |a Twistoren theorie |2 gtt | |
| 650 | 7 | |a Variétés (mathématiques) |2 ram | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Manifolds (Mathematics) | |
| 650 | 4 | |a Twistor theory | |
| 830 | 0 | |a Pitman research notes in mathematics series |v 372 |w (DE-604)BV000022845 |9 372 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009213033 | ||
Datensatz im Suchindex
| _version_ | 1804128287966887936 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Schlesinger, Karl G. |
| author_facet | Schlesinger, Karl G. |
| author_role | aut |
| author_sort | Schlesinger, Karl G. |
| author_variant | k g s kg kgs |
| building | Verbundindex |
| bvnumber | BV013497371 |
| callnumber-first | Q - Science |
| callnumber-label | QA613 |
| callnumber-raw | QA613 |
| callnumber-search | QA613 |
| callnumber-sort | QA 3613 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 370 |
| ctrlnum | (OCoLC)37828981 (DE-599)BVBBV013497371 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01661nam a2200433 cb4500</leader><controlfield tag="001">BV013497371</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20090407 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">001215s1997 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0582320003</subfield><subfield code="9">0-582-32000-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)37828981</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013497371</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA613</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.36</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 880</subfield><subfield code="0">(DE-625)143209:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schlesinger, Karl G.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Generalized manifolds</subfield><subfield code="b">a generalized manifold theory with applications to dynamical systems, general relativity and twistor theory</subfield><subfield code="c">Karl-Georg Schlesinger</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Harlow, Essex</subfield><subfield code="b">Longman</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">116 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Pitman research notes in mathematics series</subfield><subfield code="v">372</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differentiaalmeetkunde</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Géométrie différentielle</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Manifolds</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Twistoren theorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Variétés (mathématiques)</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Differential</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Manifolds (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Twistor theory</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pitman research notes in mathematics series</subfield><subfield code="v">372</subfield><subfield code="w">(DE-604)BV000022845</subfield><subfield code="9">372</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009213033</subfield></datafield></record></collection> |
| 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 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-11 |
| owner_facet | DE-19 DE-BY-UBM DE-11 |
| 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 |