Geometry of biharmonic mappings: differential geometry of variational methods
"The author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of different...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Publishing Company Pte Limited
2019
|
| Subjects: | |
| Online Access: | UBY01 Volltext |
| Summary: | "The author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry."-- |
| Item Description: | Includes bibliographical references |
| Physical Description: | 1 online resource (348 pages) illustrations |
| ISBN: | 9789813236400 |
Staff View
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV046810239 | ||
| 003 | DE-604 | ||
| 005 | 20201102 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 200716s2019 |||| o||u| ||||||eng d | ||
| 020 | |a 9789813236400 |9 978-981-3236-40-0 | ||
| 024 | 7 | |a 10.1142/10886 |2 doi | |
| 035 | |a (ZDB-124-WOP)00010886 | ||
| 035 | |a (OCoLC)1190915859 | ||
| 035 | |a (DE-599)BVBBV046810239 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-706 | ||
| 082 | 0 | |a 514/.7 | |
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 084 | |a SK 660 |0 (DE-625)143251: |2 rvk | ||
| 100 | 1 | |a Urakawa, Hajime |d 1946- |4 aut | |
| 245 | 1 | 0 | |a Geometry of biharmonic mappings |b differential geometry of variational methods |c Hajime Urakawa |
| 264 | 1 | |a Singapore |b World Scientific Publishing Company Pte Limited |c 2019 | |
| 300 | |a 1 online resource (348 pages) |b illustrations | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references | ||
| 520 | |a "The author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry."-- | ||
| 650 | 4 | |a Mappings (Mathematics) | |
| 650 | 4 | |a Geometry, Riemannian | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Electronic books | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9789813236394 |
| 856 | 4 | 0 | |u https://www.worldscientific.com/worldscibooks/10.1142/10886 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-124-WOP | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-032218816 | ||
| 966 | e | |u https://www.worldscientific.com/worldscibooks/10.1142/10886 |l UBY01 |p ZDB-124-WOP |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804181615165833216 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Urakawa, Hajime 1946- |
| author_facet | Urakawa, Hajime 1946- |
| author_role | aut |
| author_sort | Urakawa, Hajime 1946- |
| author_variant | h u hu |
| building | Verbundindex |
| bvnumber | BV046810239 |
| classification_rvk | SK 370 SK 660 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00010886 (OCoLC)1190915859 (DE-599)BVBBV046810239 |
| dewey-full | 514/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.7 |
| dewey-search | 514/.7 |
| dewey-sort | 3514 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01862nmm a2200433zc 4500</leader><controlfield tag="001">BV046810239</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20201102 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">200716s2019 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789813236400</subfield><subfield code="9">978-981-3236-40-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/10886</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00010886</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1190915859</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV046810239</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514/.7</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">SK 660</subfield><subfield code="0">(DE-625)143251:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Urakawa, Hajime</subfield><subfield code="d">1946-</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometry of biharmonic mappings</subfield><subfield code="b">differential geometry of variational methods</subfield><subfield code="c">Hajime Urakawa</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Publishing Company Pte Limited</subfield><subfield code="c">2019</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (348 pages)</subfield><subfield code="b">illustrations</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"The author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry."--</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mappings (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Riemannian</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Differential</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electronic books</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9789813236394</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.worldscientific.com/worldscibooks/10.1142/10886</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032218816</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://www.worldscientific.com/worldscibooks/10.1142/10886</subfield><subfield code="l">UBY01</subfield><subfield code="p">ZDB-124-WOP</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV046810239 |
| illustrated | Illustrated |
| index_date | 2024-07-03T14:58:45Z |
| indexdate | 2024-07-10T08:54:28Z |
| institution | BVB |
| isbn | 9789813236400 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032218816 |
| oclc_num | 1190915859 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | 1 online resource (348 pages) illustrations |
| psigel | ZDB-124-WOP |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | World Scientific Publishing Company Pte Limited |
| record_format | marc |
| spelling | Urakawa, Hajime 1946- aut Geometry of biharmonic mappings differential geometry of variational methods Hajime Urakawa Singapore World Scientific Publishing Company Pte Limited 2019 1 online resource (348 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references "The author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry."-- Mappings (Mathematics) Geometry, Riemannian Geometry, Differential Electronic books Erscheint auch als Druck-Ausgabe 9789813236394 https://www.worldscientific.com/worldscibooks/10.1142/10886 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Urakawa, Hajime 1946- Geometry of biharmonic mappings differential geometry of variational methods Mappings (Mathematics) Geometry, Riemannian Geometry, Differential Electronic books |
| title | Geometry of biharmonic mappings differential geometry of variational methods |
| title_auth | Geometry of biharmonic mappings differential geometry of variational methods |
| title_exact_search | Geometry of biharmonic mappings differential geometry of variational methods |
| title_exact_search_txtP | Geometry of biharmonic mappings differential geometry of variational methods |
| title_full | Geometry of biharmonic mappings differential geometry of variational methods Hajime Urakawa |
| title_fullStr | Geometry of biharmonic mappings differential geometry of variational methods Hajime Urakawa |
| title_full_unstemmed | Geometry of biharmonic mappings differential geometry of variational methods Hajime Urakawa |
| title_short | Geometry of biharmonic mappings |
| title_sort | geometry of biharmonic mappings differential geometry of variational methods |
| title_sub | differential geometry of variational methods |
| topic | Mappings (Mathematics) Geometry, Riemannian Geometry, Differential Electronic books |
| topic_facet | Mappings (Mathematics) Geometry, Riemannian Geometry, Differential Electronic books |
| url | https://www.worldscientific.com/worldscibooks/10.1142/10886 |
| work_keys_str_mv | AT urakawahajime geometryofbiharmonicmappingsdifferentialgeometryofvariationalmethods |