Biharmonic submanifolds and biharmonic maps in riemannian geometry:
"The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date import...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
[2020]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results. Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus biharmonic submanifolds include minimal submanifolds as a subclass. Biharmonic submanifolds also appeared in the study of finite type submanifolds in Euclidean spaces. Biharmonic maps are maps between Riemannian manifolds that are critical points of the bienergy. They are generalizations of harmonic maps and biharmonic functions which have many important applications and interesting links to many areas of mathematics and theoretical physics. Since 2000, biharmonic submanifolds and maps have become a vibrant research field with a growing number of researchers around the world, with many interesting results have been obtained. This book containing basic knowledge, tools for some fundamental problems and a comprehensive survey on the study of biharmonic submanifolds and maps will be greatly beneficial for graduate students and beginning researchers who want to study the subject, as well as researchers who have already been working in the field"--Publisher's website |
| Beschreibung: | 1 Online-Ressource (xii, 528 Seiten) |
| ISBN: | 9789811212383 |
Internformat
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| 300 | |a 1 Online-Ressource (xii, 528 Seiten) | ||
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| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 520 | |a "The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results. Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus biharmonic submanifolds include minimal submanifolds as a subclass. Biharmonic submanifolds also appeared in the study of finite type submanifolds in Euclidean spaces. Biharmonic maps are maps between Riemannian manifolds that are critical points of the bienergy. They are generalizations of harmonic maps and biharmonic functions which have many important applications and interesting links to many areas of mathematics and theoretical physics. Since 2000, biharmonic submanifolds and maps have become a vibrant research field with a growing number of researchers around the world, with many interesting results have been obtained. This book containing basic knowledge, tools for some fundamental problems and a comprehensive survey on the study of biharmonic submanifolds and maps will be greatly beneficial for graduate students and beginning researchers who want to study the subject, as well as researchers who have already been working in the field"--Publisher's website | ||
| 650 | 4 | |a Geometry, Riemannian | |
| 650 | 4 | |a Submanifolds | |
| 650 | 4 | |a Mappings (Mathematics) | |
| 700 | 1 | |a Chen, Bang-yen |e Sonstige |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804182170922647552 |
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| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| author | Ou, Ye-Lin |
| author_facet | Ou, Ye-Lin |
| author_role | aut |
| author_sort | Ou, Ye-Lin |
| author_variant | y l o ylo |
| building | Verbundindex |
| bvnumber | BV047124268 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00011610 (OCoLC)1237588187 (DE-599)BVBBV047124268 |
| dewey-full | 516.373 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.373 |
| dewey-search | 516.373 |
| dewey-sort | 3516.373 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV047124268 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T16:30:24Z |
| indexdate | 2024-07-10T09:03:18Z |
| institution | BVB |
| isbn | 9789811212383 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032530508 |
| oclc_num | 1237588187 |
| open_access_boolean | |
| physical | 1 Online-Ressource (xii, 528 Seiten) |
| psigel | ZDB-124-WOP |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Ou, Ye-Lin Verfasser aut Biharmonic submanifolds and biharmonic maps in riemannian geometry by Ye-Lin Ou, Bang-Yen Chen Singapore World Scientific [2020] 1 Online-Ressource (xii, 528 Seiten) txt rdacontent c rdamedia cr rdacarrier "The book aims to present a comprehensive survey on biharmonic submanifolds and maps from the viewpoint of Riemannian geometry. It provides some basic knowledge and tools used in the study of the subject as well as an overall picture of the development of the subject with most up-to-date important results. Biharmonic submanifolds are submanifolds whose isometric immersions are biharmonic maps, thus biharmonic submanifolds include minimal submanifolds as a subclass. Biharmonic submanifolds also appeared in the study of finite type submanifolds in Euclidean spaces. Biharmonic maps are maps between Riemannian manifolds that are critical points of the bienergy. They are generalizations of harmonic maps and biharmonic functions which have many important applications and interesting links to many areas of mathematics and theoretical physics. Since 2000, biharmonic submanifolds and maps have become a vibrant research field with a growing number of researchers around the world, with many interesting results have been obtained. This book containing basic knowledge, tools for some fundamental problems and a comprehensive survey on the study of biharmonic submanifolds and maps will be greatly beneficial for graduate students and beginning researchers who want to study the subject, as well as researchers who have already been working in the field"--Publisher's website Geometry, Riemannian Submanifolds Mappings (Mathematics) Chen, Bang-yen Sonstige oth https://www.worldscientific.com/worldscibooks/10.1142/11610#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Ou, Ye-Lin Biharmonic submanifolds and biharmonic maps in riemannian geometry Geometry, Riemannian Submanifolds Mappings (Mathematics) |
| title | Biharmonic submanifolds and biharmonic maps in riemannian geometry |
| title_auth | Biharmonic submanifolds and biharmonic maps in riemannian geometry |
| title_exact_search | Biharmonic submanifolds and biharmonic maps in riemannian geometry |
| title_exact_search_txtP | Biharmonic submanifolds and biharmonic maps in riemannian geometry |
| title_full | Biharmonic submanifolds and biharmonic maps in riemannian geometry by Ye-Lin Ou, Bang-Yen Chen |
| title_fullStr | Biharmonic submanifolds and biharmonic maps in riemannian geometry by Ye-Lin Ou, Bang-Yen Chen |
| title_full_unstemmed | Biharmonic submanifolds and biharmonic maps in riemannian geometry by Ye-Lin Ou, Bang-Yen Chen |
| title_short | Biharmonic submanifolds and biharmonic maps in riemannian geometry |
| title_sort | biharmonic submanifolds and biharmonic maps in riemannian geometry |
| topic | Geometry, Riemannian Submanifolds Mappings (Mathematics) |
| topic_facet | Geometry, Riemannian Submanifolds Mappings (Mathematics) |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11610#t=toc |
| work_keys_str_mv | AT ouyelin biharmonicsubmanifoldsandbiharmonicmapsinriemanniangeometry AT chenbangyen biharmonicsubmanifoldsandbiharmonicmapsinriemanniangeometry |