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

作     者：Shaoxiang ZHANG Ju TAN Shaoxiang ZHANG;Ju TAN

作者机构：College of Mathematics and Systems ScienceShandong University of Science and TechnologyQingdao 266590ShandongChina School of Microelectronics and Data ScienceAnhui University of TechnologyMaanshan 243032AnhuiChina 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2023年第44卷第1期

页      面：67-80页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

主　　题：Solvable Lie groups Lagrangian multiplier method Minimal unit vector fields Geodesic vector fields Strongly normal unit vectors 

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 *** 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.