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STUDY ON PARAMETRIC POLYNOMIAL MINIMAL SURFACES

STUDY ON PARAMETRIC POLYNOMIAL MINIMAL SURFACES
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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...
作者 杨培中
出处 《Journal of Shanghai Jiaotong university(Science)》 EI 1997年第1期5-10,共6页 上海交通大学学报(英文版)
关键词 PPMS ISOMETRIC PPMS isometric
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