Bull. Korean Math. Soc. 2010; 47(5): 951-960
Printed September 1, 2010
https://doi.org/10.4134/BKMS.2010.47.5.951
Copyright © The Korean Mathematical Society.
Seunghun Yi
Youngdong University
We provide the set of left-invariant minimal unit vector fields on the semi-direct product $\mathbb R^n\rtimes_P\mathbb R$, where $P$ is a nonsingular diagonal matrix and on the 7 classes of 4-dimensional solvable Lie groups of the form $\mathbb R^3\rtimes_P\mathbb R$which are unimodular and of type $(R)$.
Keywords: left-invariant minimal unit vector field, Lie group, semi-direct product
MSC numbers: 53C20, 53C25, 53C42
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