Non-Fiction Books:

Complete Minimal Surfaces of Finite Total Curvature

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Hardback
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Description

This monograph is based on the idea that the study of complete minimal surfaces in RXX 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. 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. This text should interest graduate students and research mathematicians in differential geometry, function theory and algebraic curves, as well as for those working in materials science or crystallography.
Release date Australia
July 31st, 1994
Author
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
VIII, 160 p.
Pages
160
Dimensions
155x235x11
ISBN-13
9780792330127
Product ID
2437212

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