A Theory of Branched Minimal Surfaces W. Vogel & M. Büttner GmbH Birgit -- 16

Birgit -- 16

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A Theory of Branched Minimal Surfaces W. Vogel & M. Büttner GmbH Birgit -- 16One of the most elementary questions in mathematics is whether an area minimizing surface spanning a contour in three space is immersed or not; i. e. does its derivative have maximal rank everywhere. The purpose of this monograph is to present an elementary proof of this very fundamental and beautiful mathematical result. The exposition follows the original line of attack initiated by Jesse Douglas in his Fields medal work in 1931, namely use