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Schwarz's surface and the theory of minimal surfaces

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Schwarz's surface and the theory of minimal surfaces

Dalpé, Denis (1998) Schwarz's surface and the theory of minimal surfaces. Masters thesis, Concordia University.

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Abstract

We explore some general properties of minimal surfaces, and their historical origins. I am particularly interested in the Schwarz surface, which is spanned by a regular tetrahedral skew quadrilateral. We use the Weierstrass-Enneper representation formulas to derive the analytic function $R(\omega)$ obtained by Schwarz and use a representation in terms of elliptic integrals to investigate the relation to the hyperbolic paraboloid.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Dalpé, Denis
Pagination:viii, 72 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:Theses (M.Sc.)
Program:Dept. of Mathematics and Statistics
Date:1998
Thesis Supervisor(s):Proppe, H
ID Code:498
Deposited By:Concordia University Libraries
Deposited On:27 Aug 2009 13:12
Last Modified:08 Dec 2010 10:14
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