Description

Book Synopsis
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.

Table of Contents
Contents: The Gauss map of minimal surfaces in R3 - The derived curves of a holomorphic curve - The classical defect relations for holomorphic curves - Modified defect relation for holomorphic curves - The Gauss Map of complete minimal surfaces in Rm.

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

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    A Paperback by Hirotaka Fujimoto

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      View other formats and editions of Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm by Hirotaka Fujimoto

      Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
      Publication Date: 20/11/2013
      ISBN13: 9783322802736, 978-3322802736
      ISBN10: 3322802736
      Also in:
      Mathematics Calculus and mathematical analysis Geometry

      Description

      Book Synopsis
      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.

      Table of Contents
      Contents: The Gauss map of minimal surfaces in R3 - The derived curves of a holomorphic curve - The classical defect relations for holomorphic curves - Modified defect relation for holomorphic curves - The Gauss Map of complete minimal surfaces in Rm.

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