Submanifolds and isometric immersions:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Houston, Tex.
Publish or Perish
1990
|
| Schriftenreihe: | Mathematics lecture series
13 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 173 S. |
| ISBN: | 0914098225 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV004440399 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 910807s1990 |||| 00||| eng d | ||
| 020 | |a 0914098225 |9 0-914098-22-5 | ||
| 035 | |a (OCoLC)22619776 | ||
| 035 | |a (DE-599)BVBBV004440399 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-355 |a DE-11 | ||
| 050 | 0 | |a QA649 | |
| 082 | 0 | |a 516.36 |2 19 | |
| 084 | |a SI 860 |0 (DE-625)143204: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 245 | 1 | 0 | |a Submanifolds and isometric immersions |c Marcos Dajczer ... |
| 264 | 1 | |a Houston, Tex. |b Publish or Perish |c 1990 | |
| 300 | |a VIII, 173 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics lecture series |v 13 | |
| 650 | 4 | |a Hypersurfaces | |
| 650 | 4 | |a Immersions (Mathematics) | |
| 650 | 4 | |a Submanifolds | |
| 650 | 0 | 7 | |a Isometrische Immersion |0 (DE-588)4162534-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Untermannigfaltigkeit |0 (DE-588)4128503-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Untermannigfaltigkeit |0 (DE-588)4128503-7 |D s |
| 689 | 0 | 1 | |a Isometrische Immersion |0 (DE-588)4162534-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Dajczer, Marcos |e Sonstige |4 oth | |
| 830 | 0 | |a Mathematics lecture series |v 13 |w (DE-604)BV001891703 |9 13 | |
| 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=002754674&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002754674 | ||
Datensatz im Suchindex
| _version_ | 1804118613770108928 |
|---|---|
| adam_text | Contents
1 The Basic Equations For Submanifolds 1
1.0 Introduction 1
1.1 The Fundamental Theorem for Submanifolds 2
1.2 Minimal and umbilical submanifolds 8
1.3 The Axioms of r planes and r spheres 12
Appendix 14
1.4 Riemannian Vector bundles 14
1.5 Proof of the Fundamental Theorem for Submanifolds . 17
Exercises 19
2 Hypersurfaces 23
2.0 Introduction 23
2.1 The Fundamental Theorem for Hypersurfaces 24
2.2 Convex Euclidean hypersurfaces 27
2.3 The classification of Einstein hypersurfaces 32
Exercises 36
3 Submanifolds with Non positive Curvature 39
3.0 Introduction 39
3.1 The Chern Kuiper Theorem 40
3.2 The Jorge Koutroufiotis Theorem 45
Exercises 51
4 Reduction of Codimension 53
4.0 Intoduction 53
4.1 Basic facts 54
4.2 The parallelism of the first normal space 57
4.3 An application 61
Exercises 62
viii CONTENTS
5 Complete Submanifolds of Constant Sectional Curvature . . 65
5.0 Introduction 65
5.1 Completeness of the relative nullity foliation 66
5.2 Isometric immersions between spaces of constant
curvature 71
Exercises 80
6 The Theory of Flat Bilinear Forms and Isometric Rigidity . 82
6.0 Introduction 82
6.1 Flat bilinear forms 83
6.2 Local isometric rigidity 89
6.3 Global isometric rigidity of hypersurfaces 96
Exercises 101
7 Conformally Flat Submanifolds 106
7.0 Introduction 106
7.1 Characterizations of conformally flat manifolds .... 107
7.2 Conformally flat submanifolds with low codimension . 117
7.3 Conformally flat hypersurfaces 126
Exercises 132
8 Real Kaehler Submanifolds 136
8.0 Introduction 136
8.1 Complete real Kaehler submanifolds 137
8.2 Holomorphicity of Real Kaehler Submanifolds .... 142
Exercises 150
9 Conformal Rigidity of Hypersurfaces 152
9.0 Introduction 152
9.1 Cartan s Conformal Rigidity 152
Exercises 160
Bibliography 161
Index 171
|
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV004440399 |
| callnumber-first | Q - Science |
| callnumber-label | QA649 |
| callnumber-raw | QA649 |
| callnumber-search | QA649 |
| callnumber-sort | QA 3649 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 860 SK 370 |
| ctrlnum | (OCoLC)22619776 (DE-599)BVBBV004440399 |
| 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>01613nam a2200433 cb4500</leader><controlfield tag="001">BV004440399</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">910807s1990 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0914098225</subfield><subfield code="9">0-914098-22-5</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)22619776</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV004440399</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-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA649</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.36</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 860</subfield><subfield code="0">(DE-625)143204:</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="245" ind1="1" ind2="0"><subfield code="a">Submanifolds and isometric immersions</subfield><subfield code="c">Marcos Dajczer ...</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Houston, Tex.</subfield><subfield code="b">Publish or Perish</subfield><subfield code="c">1990</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 173 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">Mathematics lecture series</subfield><subfield code="v">13</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hypersurfaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Immersions (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Submanifolds</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Isometrische Immersion</subfield><subfield code="0">(DE-588)4162534-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Untermannigfaltigkeit</subfield><subfield code="0">(DE-588)4128503-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Untermannigfaltigkeit</subfield><subfield code="0">(DE-588)4128503-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Isometrische Immersion</subfield><subfield code="0">(DE-588)4162534-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dajczer, Marcos</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mathematics lecture series</subfield><subfield code="v">13</subfield><subfield code="w">(DE-604)BV001891703</subfield><subfield code="9">13</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=002754674&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:BVB01-002754674</subfield></datafield></record></collection> |
| id | DE-604.BV004440399 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:13:05Z |
| institution | BVB |
| isbn | 0914098225 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002754674 |
| oclc_num | 22619776 |
| open_access_boolean | |
| owner | DE-384 DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-384 DE-355 DE-BY-UBR DE-11 |
| physical | VIII, 173 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Publish or Perish |
| record_format | marc |
| series | Mathematics lecture series |
| series2 | Mathematics lecture series |
| spelling | Submanifolds and isometric immersions Marcos Dajczer ... Houston, Tex. Publish or Perish 1990 VIII, 173 S. txt rdacontent n rdamedia nc rdacarrier Mathematics lecture series 13 Hypersurfaces Immersions (Mathematics) Submanifolds Isometrische Immersion (DE-588)4162534-1 gnd rswk-swf Untermannigfaltigkeit (DE-588)4128503-7 gnd rswk-swf Untermannigfaltigkeit (DE-588)4128503-7 s Isometrische Immersion (DE-588)4162534-1 s DE-604 Dajczer, Marcos Sonstige oth Mathematics lecture series 13 (DE-604)BV001891703 13 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002754674&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Submanifolds and isometric immersions Mathematics lecture series Hypersurfaces Immersions (Mathematics) Submanifolds Isometrische Immersion (DE-588)4162534-1 gnd Untermannigfaltigkeit (DE-588)4128503-7 gnd |
| subject_GND | (DE-588)4162534-1 (DE-588)4128503-7 |
| title | Submanifolds and isometric immersions |
| title_auth | Submanifolds and isometric immersions |
| title_exact_search | Submanifolds and isometric immersions |
| title_full | Submanifolds and isometric immersions Marcos Dajczer ... |
| title_fullStr | Submanifolds and isometric immersions Marcos Dajczer ... |
| title_full_unstemmed | Submanifolds and isometric immersions Marcos Dajczer ... |
| title_short | Submanifolds and isometric immersions |
| title_sort | submanifolds and isometric immersions |
| topic | Hypersurfaces Immersions (Mathematics) Submanifolds Isometrische Immersion (DE-588)4162534-1 gnd Untermannigfaltigkeit (DE-588)4128503-7 gnd |
| topic_facet | Hypersurfaces Immersions (Mathematics) Submanifolds Isometrische Immersion Untermannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002754674&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001891703 |
| work_keys_str_mv | AT dajczermarcos submanifoldsandisometricimmersions |