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Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm

Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm

Paperback

Series: Aspects of Mathematics, Book 21

General MathematicsGeometry

ISBN10: 3322802736
ISBN13: 9783322802736
Publisher: Springer Nature
Published: Nov 20 2013
Pages: 208
Weight: 0.70
Height: 0.47 Width: 6.14 Depth: 9.21
Language: English
This book presents in a systematic and almost self-contained way the striking analogy between classical function theory, in particular the value distribution theory of holomorphic curves in projective space, on the one hand, and important and beautiful properties of the Gauss map of minimal surfaces on the other hand. Both theories are developed in the text, including many results of recent research. The relations and analogies between them become completely clear. The book is written for interested graduate students and mathematicians, who want to become more familiar with this modern development in the two classical areas of mathematics, but also for those, who intend to do further research on minimal surfaces.

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Geometry