Construction of Minimal Surfaces with Special Type Ends  

作　　者：Zhong Hua HOU Zhan Chang ZHANG Chuan Guang LIANG 

机构地区：[1]School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,P.R.China

出　　处：《Journal of Mathematical Research and Exposition》2010年第6期997-1008,共12页数学研究与评论（英文版）

基　　金：Supported by the Specific Research Fund of the Doctoral Program of Higher Education of China (Grant No.20050141011);the MATH+X Project offered by Dalian University of Technology (Grant No.MXDUT073005);the Science Fund of Dalian University of Technology

摘　　要：We proved that there exists a family of complete oriented minimal surfaces in R3 with finite total curvature-4nπ,each of which has 0 genus and two ends,and both of the ends have winding order n,where n ∈ N,and discussed the symmetric property for special parameters.We proved that there exists a family of complete oriented minimal surfaces in R3 with finite total curvature-4nπ,each of which has 0 genus and two ends,and both of the ends have winding order n,where n ∈ N,and discussed the symmetric property for special parameters.

关 键 词：minimal surface total curvature END winding order. 

分 类 号：O186.11[理学—数学]