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arXiv · 1110.1512

Half-flat structures on indecomposable Lie groups

Marco Freibert·Fabian Schulte-Hengesbach
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Abstract

This article can be viewed as a continuation of the articles arXiv:0912.3486 and arXiv:1012.3714 where the decomposable Lie algebras admitting half-flat SU(3)-structures are classified. The new main result is the classification of the indecomposable six-dimensional Lie algebras with five-dimensional nilradical which admit a half-flat SU(3)-structure. As an important step of the proof, a considerable refinement of the classification of six-dimensional Lie algebras with five-dimensional non-Abelian nilradical is established. Additionally, it is proved that all non-solvable six-dimensional Lie algebras admit half-flat SU(3)-structures.

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Marco Freibert, Fabian Schulte-Hengesbach. 2011-11-23. Half-flat structures on indecomposable Lie groups. https://arxiv.org/abs/1110.1512

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