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)|
|Pagination:||viii, 72 leaves : ill. ; 29 cm.|
|Degree Name:||Theses (M.Sc.)|
|Program:||Dept. of Mathematics and Statistics|
|Thesis Supervisor(s):||Proppe, H|
|Deposited By:||Concordia University Libraries|
|Deposited On:||27 Aug 2009 17:12|
|Last Modified:||08 Dec 2010 15:14|
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