Minimal submanifolds and related topics:
"In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas-Rado solution to Plateau's problem, but the main emphasis is on Bernstein's problem and its new developments in various directions:...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Company Pte Limited
2019
|
| Ausgabe: | 2nd ed |
| Schlagworte: | |
| Online-Zugang: | UBY01 URL des Erstveröffentlichers |
| Zusammenfassung: | "In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas-Rado solution to Plateau's problem, but the main emphasis is on Bernstein's problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and the author's own contributions to Bernstein type theorems for higher codimension. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds. This new edition contains the author's recent work on the Lawson-Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson-Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis."--Publisher's website |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 1 online resource (397 pages) illustrations |
| ISBN: | 9789813236066 |
Internformat
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| 245 | 1 | 0 | |a Minimal submanifolds and related topics |c Yuanlong Xin |
| 250 | |a 2nd ed | ||
| 264 | 1 | |a Singapore |b World Scientific Publishing Company Pte Limited |c 2019 | |
| 300 | |a 1 online resource (397 pages) |b illustrations | ||
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| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 520 | |a "In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas-Rado solution to Plateau's problem, but the main emphasis is on Bernstein's problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and the author's own contributions to Bernstein type theorems for higher codimension. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds. This new edition contains the author's recent work on the Lawson-Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson-Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis."--Publisher's website | ||
| 650 | 4 | |a Minimal submanifolds / Problems, exercises, etc | |
| 650 | 4 | |a Manifolds (Mathematics) / Problems, exercises, etc | |
| 650 | 4 | |a Plateau's problem | |
| 650 | 4 | |a Minimal surfaces | |
| 650 | 4 | |a Electronic books | |
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Datensatz im Suchindex
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|---|---|
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| any_adam_object | |
| any_adam_object_boolean | |
| author | Xin, Y. L. 1943- |
| author_facet | Xin, Y. L. 1943- |
| author_role | aut |
| author_sort | Xin, Y. L. 1943- |
| author_variant | y l x yl ylx |
| building | Verbundindex |
| bvnumber | BV046810244 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00010880 (OCoLC)1100119184 (DE-599)BVBBV046810244 |
| dewey-full | 516.3/62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/62 |
| dewey-search | 516.3/62 |
| dewey-sort | 3516.3 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2nd ed |
| format | Electronic eBook |
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| id | DE-604.BV046810244 |
| illustrated | Illustrated |
| index_date | 2024-07-03T14:58:45Z |
| indexdate | 2024-07-10T08:54:28Z |
| institution | BVB |
| isbn | 9789813236066 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032218820 |
| oclc_num | 1100119184 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | 1 online resource (397 pages) illustrations |
| psigel | ZDB-124-WOP |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | World Scientific Publishing Company Pte Limited |
| record_format | marc |
| spelling | Xin, Y. L. 1943- aut Minimal submanifolds and related topics Yuanlong Xin 2nd ed Singapore World Scientific Publishing Company Pte Limited 2019 1 online resource (397 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index "In the theory of minimal submanifolds, Bernstein's problem and Plateau's problem are central topics. This important book presents the Douglas-Rado solution to Plateau's problem, but the main emphasis is on Bernstein's problem and its new developments in various directions: the value distribution of the Gauss image of a minimal surface in Euclidean 3-space, Simons' work for minimal graphic hypersurfaces, and the author's own contributions to Bernstein type theorems for higher codimension. The author also introduces some related topics, such as submanifolds with parallel mean curvature, Weierstrass type representation for surfaces of mean curvature 1 in hyperbolic 3-space, and special Lagrangian submanifolds. This new edition contains the author's recent work on the Lawson-Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson-Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail, which are of interest in the field of geometric analysis."--Publisher's website Minimal submanifolds / Problems, exercises, etc Manifolds (Mathematics) / Problems, exercises, etc Plateau's problem Minimal surfaces Electronic books Erscheint auch als Druck-Ausgabe 9789813236059 http://www.worldscientific.com/worldscibooks/10.1142/10880 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Xin, Y. L. 1943- Minimal submanifolds and related topics Minimal submanifolds / Problems, exercises, etc Manifolds (Mathematics) / Problems, exercises, etc Plateau's problem Minimal surfaces Electronic books |
| title | Minimal submanifolds and related topics |
| title_auth | Minimal submanifolds and related topics |
| title_exact_search | Minimal submanifolds and related topics |
| title_exact_search_txtP | Minimal submanifolds and related topics |
| title_full | Minimal submanifolds and related topics Yuanlong Xin |
| title_fullStr | Minimal submanifolds and related topics Yuanlong Xin |
| title_full_unstemmed | Minimal submanifolds and related topics Yuanlong Xin |
| title_short | Minimal submanifolds and related topics |
| title_sort | minimal submanifolds and related topics |
| topic | Minimal submanifolds / Problems, exercises, etc Manifolds (Mathematics) / Problems, exercises, etc Plateau's problem Minimal surfaces Electronic books |
| topic_facet | Minimal submanifolds / Problems, exercises, etc Manifolds (Mathematics) / Problems, exercises, etc Plateau's problem Minimal surfaces Electronic books |
| url | http://www.worldscientific.com/worldscibooks/10.1142/10880 |
| work_keys_str_mv | AT xinyl minimalsubmanifoldsandrelatedtopics |