Spacelike Framed Curves with Lightlike Components and Singularities of Their Evolutes and Focal Surfaces in Minkowski 3-space

作     者：Peng Cheng LI Dong He PEI Xin ZHAO Peng Cheng LI;Dong He PEI;Xin ZHAO

作者机构：School of Mathematics and StatisticsNortheast Normal UniversityChangchun 130024P.R.China Department of MathematicsHarbin Institute of TechnologyWeihai 264209P.R.China School of Mathematics and StatisticsQingdao UniversityQingdao 266071P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2024年第40卷第6期

页      面：1521-1532页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by National Natural Science Foundation of China(Grant No.11671070) 

主　　题：Evolutes focal surfaces spacelike framed curves singularities 

摘      要：In this paper,we define the evolute and focal surface of a spacelike framed curve with lightlike components in Minkowski *** is a generalization of the previous results of regular spacelike curves,since singularities are allowed in the original spacelike curves studied by spacelike framed curves with lightlike ***,we show a new geometric invariant to characterise singularities of the focal ***,the classification theorem and recognition theorem for the singularities of the focal surface in generic are also given.