Minimal Submanifolds And Related Topics (eBook)

Yuanlong Xin (Autor)

eBook Download: PDF

2003
272 Seiten
World Scientific Publishing Company (Verlag)
978-981-256-438-2 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 15.12.2003
• Reihe/Serie: Nankai Tracts In Mathematics
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 981-256-438-1 / 9812564381
• ISBN-13: 978-981-256-438-2 / 9789812564382