| Minimal Submanifolds and Related Topics Contributor(s): Xin, Yuanlong (Author) |
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ISBN: 9812386874 ISBN-13: 9789812386878 Publisher: World Scientific Publishing Company OUR PRICE: $126.35 Product Type: Hardcover - Other Formats Published: December 2003 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Mathematics | Topology - General |
| Dewey: 516.36 |
| LCCN: 80456005 |
| Series: Nankai Tracts in Mathematics (Hardcover) |
| Physical Information: 0.78" H x 6.24" W x 9.26" (1.13 lbs) 272 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |