UNIT KILLING VECTORS AND HOMOGENEOUS GEODESICS ON SOME LIE GROUPS

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Published: Aug 15, 2006
DOI: https://doi.org/10.14403/jcms.2006.19.3.291
Keywords:
semi-direct product, unit Killing vector, homogeneous geodesic
Mathematics Subject Classification (2020):
Primary 53C20, 53C22, 53C30

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Seunghun Yi
Sciences and Liberal Arts (Mathematics), Youngdong University

Abstract





We find unit Killing vectors and homogeneous geodesics on the Lie group with Lie algebra a ⊕P r, where a and r are abelian Lie algebra of dimension n and 1, respectively.





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Article Details

Issue
Vol. 19 No. 3 (2006)
Section
Articles