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Complete Minimal Surfaces of Finite Total Curvature (Hardcover)

Author: Yang, Kichoon

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This monograph is based on the idea that the study of complete minimal surfaces in R3 of finite total curvature amounts to the study of linear series on algebraic curves. A detailed account of the Puncture Number Problem, which seeks to determine all possible underlying conformal structures for immersed complete minimal surfaces of finite total curvature, is given here for the first time in book form. Several recent results on the puncture number problem are given along with numerous examples. The emphasis is on manufacturing minimal surfaces from a given Riemann surface using the theory of divisions and residue calculus. Relevant results from algebraic geometry are collected in Chapter 1, which makes the book nearly self-contained. A brief survey of minimal surface theory in general is given in Chapter 2. Chapter 3 includes Mos recent moduli construction. For graduate students and research mathematicians in differential geometry, function theory and algebraic curves, as well as for those working in materials science or crystallography. *Author: Yang, Kichoon/ Kichoon Yang, Yang/ Kichoon Yang *Series Title: Developments in Hematology and Immunology *Series Number: 294 *Binding Type: Hardcover *Number of Pages: 168 *Publication Date: 1994/07/31 *Language: English *Dimensions: 9.21 x 6.14 x 0.50 inches


Publisher Kluwer Academic Pub
Mfg Part# 9780792330127
SKU 204180171
Format Hardcover
ISBN10 0792330129
Release Date 4/10/2007
Product Attributes
Book Format Hardcover
Number of Pages 0168
Publisher Springer
Series Part 294
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