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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Xin, Y. L., 1943- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, New Jersey : World Scientific, ©2003.
Colección:Nankai tracts in mathematics ; v. 8.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Xin, Y. L.,  |d 1943-  |e author. 
245 1 0 |a Minimal submanifolds and related topics /  |c Yuanlong Xin. 
264 1 |a River Edge, New Jersey :  |b World Scientific,  |c ©2003. 
300 |a 1 online resource (viii, 262 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Nankai tracts in mathematics ;  |v v. 8 
500 |a Based on lectures delivered at the Institute of Mathematics, Fudan University. 
504 |a Includes bibliographical references (pages 251-257) and index. 
505 0 |a Bernstein's theorem and its generalizations -- Weierstrass type representations -- Plateau's problem and Douglas-Rado solution -- Minimal submanifolds of higher codimension -- Stable minimal hypersurfaces -- Bernstein type theorems for higher codimension -- Entire space-like submanifolds. 
588 0 |a Print version record. 
520 8 |a 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. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Minimal submanifolds. 
650 0 |a Minimal surfaces. 
650 6 |a Sous-variétés minimales. 
650 6 |a Surfaces minimales. 
650 7 |a MATHEMATICS  |x Geometry  |x Differential.  |2 bisacsh 
650 0 7 |a Minimal surfaces.  |2 cct 
650 0 7 |a Minimal submanifolds.  |2 cct 
650 7 |a Minimal submanifolds  |2 fast 
650 7 |a Minimal surfaces  |2 fast 
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776 0 8 |i Print version:  |a Xin, Y.L., 1943-  |t Minimal submanifolds and related topics.  |d River Edge, NJ : World Scientific, ©2003  |z 9789812386878  |w (OCoLC)54701072 
830 0 |a Nankai tracts in mathematics ;  |v v. 8. 
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