Left-Invariant Minimal Unit Vector Fields on the Solvable Lie Group  

作　　者：Shaoxiang ZHANG Ju TAN 

机构地区：[1]College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266590,Shandong,China [2]School of Microelectronics and Data Science,Anhui University of Technology,Maanshan 243032,Anhui,China

出　　处：《Chinese Annals of Mathematics,Series B》2023年第1期67-80,共14页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 12001007,12201358);the Natural Science Foundation of Shandong Province (No. ZR2021QA051);the Natural Science Foundation of Anhui Province (No. 1908085QA03);Starting Research Funds of Shandong University of Science and Technology (Nos. 0104060511817, 0104060540626)

摘　　要：Bozek(1980)has introduced a class of solvable Lie groups Gn with arbitrary odd dimension to construct irreducible generalized symmetric Riemannian space such that the identity component of its full isometry group is solvable.In this article,the authors provide the set of all left-invariant minimal unit vector fields on the solvable Lie group Gn,and give the relationships between the minimal unit vector fields and the geodesic vector fields,the strongly normal unit vectors respectively.

关 键 词：Solvable Lie groups Lagrangian multiplier method Minimal unit vector fields Geodesic vector fields Strongly normal unit vectors 

分 类 号：O152.5[理学—数学]