Riemann-Finsler geometry:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2005
|
| Schriftenreihe: | Nankai tracts in mathematics
6 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 192 S. graph. Darst. |
| ISBN: | 9812383573 9812383581 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV019367390 | ||
| 003 | DE-604 | ||
| 005 | 20060111 | ||
| 007 | t | ||
| 008 | 040818s2005 d||| |||| 00||| eng d | ||
| 020 | |a 9812383573 |9 981-238-357-3 | ||
| 020 | |a 9812383581 |9 981-238-358-1 | ||
| 035 | |a (OCoLC)249536251 | ||
| 035 | |a (DE-599)BVBBV019367390 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-384 |a DE-83 |a DE-11 |a DE-19 | ||
| 050 | 0 | |a QA689 | |
| 082 | 0 | |a 516.375 | |
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 084 | |a 53C60 |2 msc | ||
| 084 | |a 17,1 |2 ssgn | ||
| 100 | 1 | |a Chern, Shiing-shen |d 1911-2004 |e Verfasser |0 (DE-588)118520350 |4 aut | |
| 245 | 1 | 0 | |a Riemann-Finsler geometry |c Shiing-Shen Chern ; Zhongmin Shen |
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2005 | |
| 300 | |a VIII, 192 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Nankai tracts in mathematics |v 6 | |
| 650 | 4 | |a Finsler-Geometrie | |
| 650 | 0 | 7 | |a Finsler-Geometrie |0 (DE-588)4451048-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Finsler-Geometrie |0 (DE-588)4451048-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Shen, Zhongmin |e Verfasser |4 aut | |
| 830 | 0 | |a Nankai tracts in mathematics |v 6 |w (DE-604)BV014017593 |9 6 | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch Darmstadt |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012830949&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-012830949 | ||
Datensatz im Suchindex
| _version_ | 1804132804661870592 |
|---|---|
| adam_text | NANKAI TRACTS IN MATHEMATICS - VOL. 6 RIEMANN-FINSLER GEOMETRY
SHIING-SHEN CHERN NANKAI INSTITUTE OF MATHEMATICS P. R. CHINA ZHONGMIN
SHEN INDIANA UNIVERSITY PURDUE UNIVERSITY INDIANAPOLIS USA WORLD
SCIENTIFIC NEW JERSEY * LONDON * SINGAPORE * BEIJING * SHANGHAI *
HONGKONG * TAIPEI * CHENNAI CONTENTS CHAPTER 1 FINSLER METRICS 1 1.1
MINKOWSKI NORMS 2 1.2 FINSLER METRICS 9 1.3 LENGTH STRUCTURE AND VOLUME
FORM 15 1.4 NAVIGATION PROBLEM 20 1.5 CARTAN TORSION 25 CHAPTER 2
STRUCTURE EQUATIONS 31 2.1 CHERN CONNECTION 31 2.2 STRUCTURE EQUATIONS
40 2.3 FINSLER METRICS OF CONSTANT FLAG CURVATURE 43 2.4 BIANCHI
IDENTITIES 47 CHAPTER 3 GEODESIES 51 3.1 SPRAYS 51 3.2 SHORTEST PATHS 56
3.3 PROJECTIVELY EQUIVALENT FINSLER METRICS 60 3.4 PROJECTIVELY FLAT
METRICS 63 CHAPTER 4 PARALLEL TRANSLATIONS 71 4.1 PARALLEL VECTOR FIELDS
71 4.2 PARALLEL TRANSLATIONS 76 4.3 BERWALD METRICS 79 4.4 LANDSBERG
METRICS 81 VII VIII CONTENTS CHAPTER 5 S-CURVATURE 87 5.1 DISTORTION AND
S-CURVATURE 87 5.2 RANDERS METRICS OF ISOTROPIC S-CURVATURE 92 5.3 AN
EQUATION ON THE S-CURVATURE 104 CHAPTER 6 RIEMANN CURVATURE 107 6.1
RIEMANN CURVATURE 107 6.2 SECOND VARIATION OF A GEODESIC 115 6.3
NONPOSITIVE FLAG CURVATURE 120 CHAPTER 7 FINSLER METRICS OF SCALAR FLAG
CURVATURE 127 7.1 SOME BASIC PROPERTIES 127 7.2 GLOBAL RIGIDITY THEOREMS
131 7.3 RANDERS METRICS OF SCALAR FLAG CURVATURE 139 CHAPTER 8
PROJECTIVELY FLAT FINSLER METRICS 149 8.1 PROJECTIVELY FLAT RANDERS
METRICS 149 8.2 PROJECTIVELY FLAT METRICS WITH CONSTANT FLAG CURVATURE .
. . . 155 8.3 PROJECTIVELY FLAT METRICS WITH ALMOST ISOTROPIC
S-CURVATURE . 166 APPENDIX A MAPLE PROGRAMS 171 A.I SPRAY COEFFICIENTS
OF TWO-DIMENSIONAL FINSLER METRICS 171 A.2 GAUSS CURVATURE 176 A.3 SPRAY
COEFFICIENTS OF (A, /3)-METRICS 178 BIBLIOGRAPHY 185 INDEX 191
|
| any_adam_object | 1 |
| author | Chern, Shiing-shen 1911-2004 Shen, Zhongmin |
| author_GND | (DE-588)118520350 |
| author_facet | Chern, Shiing-shen 1911-2004 Shen, Zhongmin |
| author_role | aut aut |
| author_sort | Chern, Shiing-shen 1911-2004 |
| author_variant | s s c ssc z s zs |
| building | Verbundindex |
| bvnumber | BV019367390 |
| callnumber-first | Q - Science |
| callnumber-label | QA689 |
| callnumber-raw | QA689 |
| callnumber-search | QA689 |
| callnumber-sort | QA 3689 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 370 |
| ctrlnum | (OCoLC)249536251 (DE-599)BVBBV019367390 |
| dewey-full | 516.375 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.375 |
| dewey-search | 516.375 |
| dewey-sort | 3516.375 |
| 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>01581nam a2200421 cb4500</leader><controlfield tag="001">BV019367390</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20060111 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">040818s2005 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812383573</subfield><subfield code="9">981-238-357-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812383581</subfield><subfield code="9">981-238-358-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)249536251</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019367390</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-703</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA689</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.375</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">53C60</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chern, Shiing-shen</subfield><subfield code="d">1911-2004</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)118520350</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Riemann-Finsler geometry</subfield><subfield code="c">Shiing-Shen Chern ; Zhongmin Shen</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 192 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="1" ind2=" "><subfield code="a">Nankai tracts in mathematics</subfield><subfield code="v">6</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Finsler-Geometrie</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Finsler-Geometrie</subfield><subfield code="0">(DE-588)4451048-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Finsler-Geometrie</subfield><subfield code="0">(DE-588)4451048-2</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">Shen, Zhongmin</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Nankai tracts in mathematics</subfield><subfield code="v">6</subfield><subfield code="w">(DE-604)BV014017593</subfield><subfield code="9">6</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</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=012830949&sequence=000001&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:BVB01-012830949</subfield></datafield></record></collection> |
| id | DE-604.BV019367390 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:58:39Z |
| institution | BVB |
| isbn | 9812383573 9812383581 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012830949 |
| oclc_num | 249536251 |
| open_access_boolean | |
| owner | DE-703 DE-384 DE-83 DE-11 DE-19 DE-BY-UBM |
| owner_facet | DE-703 DE-384 DE-83 DE-11 DE-19 DE-BY-UBM |
| physical | VIII, 192 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | World Scientific |
| record_format | marc |
| series | Nankai tracts in mathematics |
| series2 | Nankai tracts in mathematics |
| spelling | Chern, Shiing-shen 1911-2004 Verfasser (DE-588)118520350 aut Riemann-Finsler geometry Shiing-Shen Chern ; Zhongmin Shen New Jersey [u.a.] World Scientific 2005 VIII, 192 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nankai tracts in mathematics 6 Finsler-Geometrie Finsler-Geometrie (DE-588)4451048-2 gnd rswk-swf Finsler-Geometrie (DE-588)4451048-2 s DE-604 Shen, Zhongmin Verfasser aut Nankai tracts in mathematics 6 (DE-604)BV014017593 6 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012830949&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chern, Shiing-shen 1911-2004 Shen, Zhongmin Riemann-Finsler geometry Nankai tracts in mathematics Finsler-Geometrie Finsler-Geometrie (DE-588)4451048-2 gnd |
| subject_GND | (DE-588)4451048-2 |
| title | Riemann-Finsler geometry |
| title_auth | Riemann-Finsler geometry |
| title_exact_search | Riemann-Finsler geometry |
| title_full | Riemann-Finsler geometry Shiing-Shen Chern ; Zhongmin Shen |
| title_fullStr | Riemann-Finsler geometry Shiing-Shen Chern ; Zhongmin Shen |
| title_full_unstemmed | Riemann-Finsler geometry Shiing-Shen Chern ; Zhongmin Shen |
| title_short | Riemann-Finsler geometry |
| title_sort | riemann finsler geometry |
| topic | Finsler-Geometrie Finsler-Geometrie (DE-588)4451048-2 gnd |
| topic_facet | Finsler-Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012830949&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014017593 |
| work_keys_str_mv | AT chernshiingshen riemannfinslergeometry AT shenzhongmin riemannfinslergeometry |