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

1993
ISBN: 978-3-322-80271-2
Verlag: Vieweg & Teubner
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 21, 208 Seiten, eBook

Reihe: Aspects of Mathematics

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.

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Fujimoto, Hirotaka

Inhaltsverzeichnis

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.

Über Autor(innen)

Hirotaka Fujimoto ist Professor am Institut für Mathematik der Kanazawa Universität in Japan.