[HTML][HTML] Quintic parametric polynomial minimal surfaces and their properties

G Xu, G Wang - Differential Geometry and its Applications, 2010 - Elsevier
G Xu, G Wang
Differential Geometry and its Applications, 2010Elsevier
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 …
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.
Elsevier
以上显示的是最相近的搜索结果。 查看全部搜索结果