摘要
Parametric polynomial minimal surfaces(PPMSs) are discussed.The structure of the simply connected PPMSs with 2 k +1 degrees is given.It is proved that there exist no simply connected PPMSs with 2 k degrees.Especially for PPMSs with 3 degrees,it is proved that ,up to a similarity transformation,the minimal surfaces constructed by f =nonzero constant and g = a(z+c) are unique,and the minimal surfaces constructed by f=c 1(z-b) 2,g=c 2(z-a)/(z-b) ,where c 1c 2≠0,a≠b, are isometric with Enneper surface.By the use of MATHEMATICA several pictures about the minimal surfaces are also given.
ＳＴＵＤＹＯＮＰＡＲＡＭＥＴＲＩＣＰＯＬＹＮＯＭＩＡＬＭＩＮＩＭＡＬＳＵＲＦＡＣＥＳＹａｎｇＰｅｉｚｈｏｎｇ（杨培中）（Ｄｅｐｔ．ｏｆＭｅｃｈａｎｉｃａｌＥｎｇｉｎｅｅｒｉｎｇ，ＳｈａｎｇｈａｉＪｉａｏｔｏｎｇＵｎｉｖ．）ＡｂｓｔｒａｃｔＰａｒａｍｅ...
