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Minimal submanifolds and related topics /
Annotation 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 valu...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
River Edge, New Jersey :
World Scientific,
©2003.
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| Colección: | Nankai tracts in mathematics ;
v. 8. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | Annotation 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 codimensions. 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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| Notas: | Based on lectures delivered at the Institute of Mathematics, Fudan University. |
| Descripción Física: | 1 online resource (viii, 262 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 251-257) and index. |
| ISBN: | 9812564381 9789812564382 9812386874 9789812386878 |