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- W4297837871 abstract "We study special Lagrangian fibrations of $mathrm{SU}(3)$-manifolds, not necessarily torsion-free. In the case where the fiber is a unimodular Lie group $G$, we decompose such $mathrm{SU}(3)$-structures into triples of solder 1-forms, connection 1-forms and equivariant $3times3$ positive-definite symmetric matrix-valued functions on principal $G$-bundles over 3-manifolds. As applications, we describe regular parts of $G_2$-manifolds that admit Lagrangian-type 3-dimensional group actions by constrained dynamical systems on the spaces of the triples in the cases of $G=mathrm{T}^3$ and $mathrm{SO}(3)$." @default.
- W4297837871 created "2022-10-01" @default.
- W4297837871 creator A5022126024 @default.
- W4297837871 date "2018-01-16" @default.
- W4297837871 modified "2023-10-14" @default.
- W4297837871 title "$G_2$-metrics arising from non-integrable special Lagrangian fibrations" @default.
- W4297837871 doi "https://doi.org/10.48550/arxiv.1801.05540" @default.
- W4297837871 hasPublicationYear "2018" @default.
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