Minimal submanifolds and related topics:
The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasis is on the Bernstein problem and its new developments in various directions: the value distribut...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2003
|
| Schriftenreihe: | Nankai tracts in mathematics
v. 8 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasis is on the Bernstein 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 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 |
| Beschreibung: | viii, 262 p. ill |
| ISBN: | 9789812564382 |
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| 520 | |a The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasis is on the Bernstein 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 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 | ||
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Datensatz im Suchindex
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| 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 | BV044633990 |
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| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044633990 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:43Z |
| institution | BVB |
| isbn | 9789812564382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030031962 |
| oclc_num | 704525208 |
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| owner_facet | DE-92 |
| physical | viii, 262 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Nankai tracts in mathematics |
| spelling | Xin, Y. L. 1943- Verfasser aut Minimal submanifolds and related topics Yuanlong Xin Singapore World Scientific Pub. Co. c2003 viii, 262 p. ill txt rdacontent c rdamedia cr rdacarrier Nankai tracts in mathematics v. 8 The Bernstein problem and the Plateau problem are central topics in the theory of minimal submanifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasis is on the Bernstein 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 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 Minimal submanifolds Geometry, Riemannian Minimale Untermannigfaltigkeit (DE-588)4338425-0 gnd rswk-swf Minimale Untermannigfaltigkeit (DE-588)4338425-0 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789812386878 Erscheint auch als Druck-Ausgabe 9812386874 http://www.worldscientific.com/worldscibooks/10.1142/5417#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Xin, Y. L. 1943- Minimal submanifolds and related topics Minimal submanifolds Geometry, Riemannian Minimale Untermannigfaltigkeit (DE-588)4338425-0 gnd |
| subject_GND | (DE-588)4338425-0 |
| title | Minimal submanifolds and related topics |
| title_auth | Minimal submanifolds and related topics |
| title_exact_search | 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 Geometry, Riemannian Minimale Untermannigfaltigkeit (DE-588)4338425-0 gnd |
| topic_facet | Minimal submanifolds Geometry, Riemannian Minimale Untermannigfaltigkeit |
| url | http://www.worldscientific.com/worldscibooks/10.1142/5417#t=toc |
| work_keys_str_mv | AT xinyl minimalsubmanifoldsandrelatedtopics |