Abstract/Details

Rational minimal surfaces


1999 1999

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Abstract (summary)

In this thesis we investigate rational minimal surfaces—a special class of minimal surfaces with finite total curvature and Enneper type ends. We define an iteration for Gauss maps and show that it can be used to produce infinitely many families of rational functions that yield rational minimal surfaces—the Schwarzian derivative plays an important role in the proof. We also investigate a relationship between dualization, as defined in the iteration, and the Darboux-Bäcklund transformation for the Korteweg-de Vries equation.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences, Enneper, Rational, Schwarz, Surfaces
Title
Rational minimal surfaces
Author
McCune, Catherine
Number of pages
67
Publication year
1999
Degree date
1999
School code
0118
Source
DAI-B 60/02, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
0599199598, 9780599199590
Advisor
Norman, Peter
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9920629
ProQuest document ID
304514967
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/304514967
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