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Schwarz's surface and the theory of minimal surfaces


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.



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
Thesis Supervisor(s):Proppe, H
ID Code:498
Deposited By: Concordia University Libraries
Deposited On:27 Aug 2009 17:12
Last Modified:08 Dec 2010 15:14
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