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The Bernstein problem and the Plateau problem are central topics in the theory of minimal sub-manifolds. This important book presents the Douglas-Rado solution to the Plateau problem, but the main emphasisis 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 hyper surfaces, and author's own contributions to Bernstein type theorems for higher co-dimension.

Minimal submanifolds. --- Geometry, Riemannian. --- Riemann geometry --- Riemannian geometry --- Generalized spaces --- Geometry, Non-Euclidean --- Semi-Riemannian geometry --- Submanifolds, Minimal --- Manifolds (Mathematics)