# LEFT-INVARIANT MINIMAL UNIT VECTOR FIELDS ON THE SEMI-DIRECT PRODUCT Rn

• Yi, Seung-Hun (DEPARTMENT OF MATHEMATICS SCIENCES AND LIBERAL ARTS YOUNGDONG UNIVERSITY)
• Accepted : 2009.04.27
• Published : 2010.09.30

#### Abstract

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).

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