Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606483 | Differential Geometry and its Applications | 2010 | 8 Pages |
Abstract
In this paper, quintic parametric polynomial minimal surface and their properties are discussed. We first propose the sufficient condition of quintic harmonic polynomial parametric surface being a minimal surface. Then several new models of minimal surfaces with shape parameters are derived from this condition. We also study the properties of new minimal surfaces, such as symmetry, self-intersection on symmetric planes and containing straight lines. Two one-parameter families of isometric minimal surfaces are also constructed by specifying some proper shape parameters.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Gang Xu, Guo-zhao Wang,