Conformal differential geometry and its generalizations:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Wiley
1996
|
| Series: | Pure and applied mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 383 S. graph. Darst. |
| ISBN: | 0471149586 9780471149583 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV011019228 | ||
| 003 | DE-604 | ||
| 005 | 20091005 | ||
| 007 | t | ||
| 008 | 961023s1996 d||| |||| 00||| eng d | ||
| 020 | |a 0471149586 |9 0-471-14958-6 | ||
| 020 | |a 9780471149583 |9 978-0-471-14958-3 | ||
| 035 | |a (OCoLC)243844362 | ||
| 035 | |a (DE-599)BVBBV011019228 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-12 |a DE-703 |a DE-634 |a DE-384 |a DE-83 |a DE-11 | ||
| 082 | 0 | |a 516.363 | |
| 084 | |a SK 350 |0 (DE-625)143233: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 084 | |a MAT 537f |2 stub | ||
| 084 | |a 53A30 |2 msc | ||
| 100 | 1 | |a Akivis, Maks A. |d 1923- |e Verfasser |0 (DE-588)128639601 |4 aut | |
| 245 | 1 | 0 | |a Conformal differential geometry and its generalizations |c Maks A. Akivis ; Vladislav V. Goldberg |
| 264 | 1 | |a New York [u.a.] |b Wiley |c 1996 | |
| 300 | |a XIV, 383 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Pure and applied mathematics | |
| 650 | 0 | 7 | |a Konforme Differentialgeometrie |0 (DE-588)4206468-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgeometrie |0 (DE-588)4012248-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgeometrie |0 (DE-588)4012248-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Konforme Differentialgeometrie |0 (DE-588)4206468-5 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Golʹdberg, Vladislav V. |d 1936- |e Verfasser |0 (DE-588)128639644 |4 aut | |
| 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=007376758&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007376758 | ||
Record in the Search Index
| _version_ | 1804125508249583616 |
|---|---|
| adam_text | Contents
Introduction ix
CHAPTER 1 CONFORMAL AND
PSEUDOCONFORMAL SPACES 1
1.1 Conformal transformations and conformal spaces 1
1.2 Moving frames in a conformal space 8
1.3 Pseudoconformal spaces 14
1.4 Examples of pseudoconformal spaces 19
Notes 28
CHAPTER 2 HYPERSURFACES IN CONFORMAL
SPACES 31
2.1 Fundamental objects and tensors of a hypersurface 31
2.2 Invariant normalization of hypersurfaces 40
2.3 The rigidity theorem and the fundamental theorem 45
2.4 Curvature lines of a hypersurface 52
2.5 Geometric problems connected with the tensor ci} 61
Notes 70
CHAPTER 3 SUBMANIFOLDS IN CONFORMAL
AND PSEUDOCONFORMAL SPACES 73
3.1 Geometry of a submanifold in a conformal space 73
3.2 Submanifolds carrying a net of curvature lines 89
3.3 Submanifolds in a pseudoconformal space 100
3.4 Line submanifolds of a three dimensional projective space 108
Notes 115
v
vi Contents
CHAPTER 4 CONFORMAL STRUCTURES ON
A DIFFERENTIABLE MANIFOLD 119
4.1 A manifold with a conformal structure 119
4.2 Weyl connections and Riemannian metrics compatible
with a conformal structure 132
4.3 A conformal structure on submanifolds of a conformal
space 141
4.4 A conformal structure on a hypersurface of a projective
space 150
Notes 160
CHAPTER 5 THE FOUR DIMENSIONAL
CONFORMAL STRUCTURES 163
5.1 Structure equations of the CO(2,2) structure 163
5.2 The CO(l,3) structure and the CO(4,0) structure 169
5.3 The Hodge operator 176
5.4 Completely isotropic submanifolds of four dimensional
conformal structures 183
5.5 Four dimensional webs and CO(2,2) structures 193
5.6 Conformal structures of some metrics in general
relativity 202
5.7 Conformal structures on a four dimensional hypersurface 208
Notes 217
CHAPTER 6 GEOMETRY OF THE GRASSMANN
MANIFOLD 221
6.1 Analytic geometry of the Grassmannian and the Grassmann
mapping 222
6.2 Geometry of the Grassmannian G(l,4) 232
6.3 Differential geometry of the Grassmannian 236
6.4 Submanifolds of the Grassmannian G(m,n) 244
6.5 Normalization of the Grassmann manifold 252
6.6 Homogeneous normalization of the Grassmann manifold 260
Notes 265
Contents vii
CHAPTER 7 MANIFOLDS ENDOWED WITH
ALMOST GRASSMANN STRUCTURES 267
7.1 Almost Grassmann structures on a differentiable manifold 267
7.2 Structure equations and torsion tensor of an
almost Grassmann manifold 274
7.3 The complete structure object of an almost Grassmann
manifold 281
7.4 Manifolds endowed with semiintegrable almost Grassmann
structures 292
7.5 Multidimensional (p + l) webs and almost Grassmann
structures associated with them 301
7.6 Grassmann (p+ l) webs 305
7.7 Transversally geodesic and isoclinic (p + l) webs 309
7.8 Grassmannizable d webs 314
Notes 319
Bibliography 323
Symbols Frequently Used 355
Author Index 359
Subject Index 363
|
| any_adam_object | 1 |
| author | Akivis, Maks A. 1923- Golʹdberg, Vladislav V. 1936- |
| author_GND | (DE-588)128639601 (DE-588)128639644 |
| author_facet | Akivis, Maks A. 1923- Golʹdberg, Vladislav V. 1936- |
| author_role | aut aut |
| author_sort | Akivis, Maks A. 1923- |
| author_variant | m a a ma maa v v g vv vvg |
| building | Verbundindex |
| bvnumber | BV011019228 |
| classification_rvk | SK 350 SK 370 |
| classification_tum | MAT 537f |
| ctrlnum | (OCoLC)243844362 (DE-599)BVBBV011019228 |
| dewey-full | 516.363 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.363 |
| dewey-search | 516.363 |
| dewey-sort | 3516.363 |
| 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>01742nam a2200433 c 4500</leader><controlfield tag="001">BV011019228</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20091005 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">961023s1996 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0471149586</subfield><subfield code="9">0-471-14958-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780471149583</subfield><subfield code="9">978-0-471-14958-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)243844362</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011019228</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.363</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</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="084" ind1=" " ind2=" "><subfield code="a">MAT 537f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">53A30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Akivis, Maks A.</subfield><subfield code="d">1923-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)128639601</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Conformal differential geometry and its generalizations</subfield><subfield code="c">Maks A. Akivis ; Vladislav V. Goldberg</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Wiley</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 383 S.</subfield><subfield code="b">graph. Darst.</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="0" ind2=" "><subfield code="a">Pure and applied mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konforme Differentialgeometrie</subfield><subfield code="0">(DE-588)4206468-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Konforme Differentialgeometrie</subfield><subfield code="0">(DE-588)4206468-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Golʹdberg, Vladislav V.</subfield><subfield code="d">1936-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)128639644</subfield><subfield code="4">aut</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=007376758&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:BVB01-007376758</subfield></datafield></record></collection> |
| id | DE-604.BV011019228 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:02:40Z |
| institution | BVB |
| isbn | 0471149586 9780471149583 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007376758 |
| oclc_num | 243844362 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-12 DE-703 DE-634 DE-384 DE-83 DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-12 DE-703 DE-634 DE-384 DE-83 DE-11 |
| physical | XIV, 383 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Wiley |
| record_format | marc |
| series2 | Pure and applied mathematics |
| spelling | Akivis, Maks A. 1923- Verfasser (DE-588)128639601 aut Conformal differential geometry and its generalizations Maks A. Akivis ; Vladislav V. Goldberg New York [u.a.] Wiley 1996 XIV, 383 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics Konforme Differentialgeometrie (DE-588)4206468-5 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 s DE-604 Konforme Differentialgeometrie (DE-588)4206468-5 s Golʹdberg, Vladislav V. 1936- Verfasser (DE-588)128639644 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007376758&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Akivis, Maks A. 1923- Golʹdberg, Vladislav V. 1936- Conformal differential geometry and its generalizations Konforme Differentialgeometrie (DE-588)4206468-5 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4206468-5 (DE-588)4012248-7 |
| title | Conformal differential geometry and its generalizations |
| title_auth | Conformal differential geometry and its generalizations |
| title_exact_search | Conformal differential geometry and its generalizations |
| title_full | Conformal differential geometry and its generalizations Maks A. Akivis ; Vladislav V. Goldberg |
| title_fullStr | Conformal differential geometry and its generalizations Maks A. Akivis ; Vladislav V. Goldberg |
| title_full_unstemmed | Conformal differential geometry and its generalizations Maks A. Akivis ; Vladislav V. Goldberg |
| title_short | Conformal differential geometry and its generalizations |
| title_sort | conformal differential geometry and its generalizations |
| topic | Konforme Differentialgeometrie (DE-588)4206468-5 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Konforme Differentialgeometrie Differentialgeometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007376758&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT akivismaksa conformaldifferentialgeometryanditsgeneralizations AT golʹdbergvladislavv conformaldifferentialgeometryanditsgeneralizations |