Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm
Author | : Hirotaka Fujimoto |
Publisher | : Springer Science & Business Media |
Total Pages | : 222 |
Release | : 2012-12-06 |
ISBN-10 | : 9783322802712 |
ISBN-13 | : 332280271X |
Rating | : 4/5 (12 Downloads) |
Download or read book Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm written by Hirotaka Fujimoto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.