Holonomy groups of $G_2^*$-manifolds

Anna Fino; Ines Kath

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arXiv · 1604.00528

Holonomy groups of $G_2^*$-manifolds

Anna Fino·Ines Kath

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Abstract

We classify the holonomy algebras of manifolds admitting an indecomposable torsion free $G_2^*$-structure, i.e. for which the holonomy representation does not leave invariant any proper non-degenerate subspace. We realize some of these Lie algebras as holonomy algebras of left-invariant metrics on Lie groups.

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Anna Fino, Ines Kath. 2016-04-02. Holonomy groups of $G_2^*$-manifolds. https://arxiv.org/abs/1604.00528

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