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

被引：0
|
作者：
Shaoxiang Zhang
Ju Tan
机构：
[1] Shandong University of Science and Technology,College of Mathematics and Systems Science
[2] Anhui University of Technology,School of Microelectronics and Data Science
来源：
Chinese Annals of Mathematics, Series B | 2023年 / 44卷
关键词：
Solvable Lie groups; Lagrangian multiplier method; Minimal unit vector fields; Geodesic vector fields; Strongly normal unit vectors; 53C25; 53C20; 53C42;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Božek (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.
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页码：67 / 80
页数：13
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