Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm
Hirotaka Fujimoto
Dec 2012 · Aspects of Mathematics Book 21 · Springer Science & Business Media
Ebook
208
Pages
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About this ebook
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.
About the author
Hirotaka Fujimoto ist Professor am Institut für Mathematik der Kanazawa Universität in Japan.
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