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Classification of almost contact metric structures on three-dimensional non-unimodular Lie groups

Published 11 Feb 2020 in math.DG, math-ph, math.MG, math.MP, and math.QA | (2002.04331v1)

Abstract: In this paper, left-invariant almost contact metric structures on three-dimensional non-unimodular Lie groups are investigated. It is proved that for every Riemannian Lie group, there is one of these structures. In addition, left-invariant normal almost contact metric structures on three dimensional non-unimodular Lie groups are classified.

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