Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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UNIT KILLING VECTORS AND HOMOGENEOUS GEODESICS ON SOME LIE GROUPS

  • Yi, Seunghun (Sciences and Liberal Arts (Mathematics) Youngdong University)
  • Received : 2006.07.28
  • Published : 2006.09.30
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Abstract

We find unit Killing vectors and homogeneous geodesics on the Lie group with Lie algebra $\mathbf{a}{\oplus}_p\mathbf{r}$, where $\mathbf{a}$ and $\mathbf{r}$ are abelian Lie algebra of dimension n and 1, respectively.

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