Minimal Legendrian surfaces in the tangent sphere bundle of R^(3)  

作　　者：Mingyan Li Guofang Wang 

机构地区：[1]School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China [2]Mathematisches Institut,Albert-Ludwigs-Universitat Freiburg,Freiburg im Breisgau 79104,Germany

出　　处：《Science China Mathematics》2024年第11期2607-2628,共22页中国科学（数学英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11901534)。

摘　　要：In this paper,we study minimal Legendrian surfacesΣimmersed in the tangent sphere bundle T_(1)R^(3).We classify(1)totally geodesic Legendrian surfaces,(2)closed minimal Legendrian surfaces of genus smaller than or equal to 1 and complete minimal Legendrian surfaces with the non-negative Gauss curvature,and(3)complete stable minimal Legendrian surfaces.

关 键 词：Legendrian surface stable minimal surface tangent sphere bundle CLASSIFICATION 

分 类 号：O186.1[理学—数学]