Complete Minimal Surfaces of Finite Total Curvature (Mathematics and Its Applications (closed)) [Hardcover]

Kichoon Yang (Author)

Book Description

Publication Date: July 31, 1994 | ISBN-10: 0792330129 | ISBN-13: 978-0792330127 | Edition: 1

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 Mo's 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.

Product Details

• Hardcover: 168 pages
• Publisher: Springer; 1 edition (July 31, 1994)
• Language: English
• ISBN-10: 0792330129
• ISBN-13: 978-0792330127
• Product Dimensions: 9.7 x 6.5 x 0.6 inches
• Shipping Weight: 4.2 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #8,184,168 in Books (See Top 100 in Books)

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