Complete minimal surfaces of finite total curvature

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Last edited by MARC Bot
July 15, 2024 | History

Complete minimal surfaces of finite total curvature

This monograph is based on the idea that the study of complete minimal surfaces in R[superscript 3] 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.

Publish Date
Publisher
Kluwer Academic
Language
English
Pages
157

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Edition Availability
Cover of: Complete minimal surfaces of finite total curvature
Complete minimal surfaces of finite total curvature
1994, Kluwer Academic
in English

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Book Details


Edition Notes

Includes bibliographical references (p. [143]-153) and index.

Published in
Dordrecht, Boston
Series
Mathematics and its applications ;, v. 294, Mathematics and its applications (Kluwer Academic Publishers) ;, v. 294.

Classifications

Dewey Decimal Class
516.3/62
Library of Congress
QA644 .Y37 1994, QA1-939

The Physical Object

Pagination
viii, 157 p. :
Number of pages
157

ID Numbers

Open Library
OL1102745M
ISBN 10
0792330129
LCCN
94027704
OCLC/WorldCat
30733897
Goodreads
3722981

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July 15, 2024 Edited by MARC Bot import existing book
December 28, 2021 Edited by ImportBot import existing book
December 4, 2010 Edited by Open Library Bot Added subjects from MARC records.
April 28, 2010 Edited by Open Library Bot Linked existing covers to the work.
December 9, 2009 Created by WorkBot add works page