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| Left-Invariant Minimal Unit Vector Fields on the Solvable Lie Group* |
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Citation： |
Shaoxiang ZHANG,Ju TAN.Left-Invariant Minimal Unit Vector Fields on the Solvable Lie Group*[J].Chinese Annals of Mathematics B,2023,44(1):67~80 |
| Page view： 940
Net amount： 578 |
Authors： |
Shaoxiang ZHANG; Ju TAN |
Foundation： |
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) and Starting Research Funds of Shandong University of Science and Technology (Nos. 0104060511817, 0104060540626). |
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| Abstract： |
Boˇzek (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. |
Keywords： |
Solvable Lie groups, Lagrangian multiplier method, Minimal unit vector fields, Geodesic vector fields, Strongly normal unit vectors |
Classification： |
53C25, 53C20, 53C42 |
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