Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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LEFT-INVARIANT MINIMAL UNIT VECTOR FIELDS ON THE SEMI-DIRECT PRODUCT Rn

  • Yi, Seung-Hun (DEPARTMENT OF MATHEMATICS SCIENCES AND LIBERAL ARTS YOUNGDONG UNIVERSITY)
  • Received : 2009.03.10
  • Accepted : 2009.04.27
  • Published : 2010.09.30
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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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References

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