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

Title & Authors
LEFT-INVARIANT MINIMAL UNIT VECTOR FIELDS ON THE SEMI-DIRECT PRODUCT Rn
Yi, Seung-Hun;

Abstract
We provide the set of left-invariant minimal unit vector fields on the semi-direct product $\small{\mathbb{R}^n\;{\rtimes}_p\mathbb{R}}$, where P is a nonsingular diagonal matrix and on the 7 classes of 4-dimensional solvable Lie groups of the form $\small{\mathbb{R}^3\;{\rtimes}_p\mathbb{R}}$ which are unimodular and of type (R).
Keywords
left-invariant minimal unit vector field;Lie group;semi-direct product;
Language
English
Cited by
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