Holonomy groups of $G_2^*$-manifolds

Anna Fino; Ines Kath

arxiv: 1604.00528 · v1 · pith:ZKJ5CYVCnew · submitted 2016-04-02 · 🧮 math.DG

Holonomy groups of G₂^*-manifolds

Anna Fino , Ines Kath This is my paper

classification 🧮 math.DG

keywords holonomyalgebrasgroupsmanifoldsadmittingclassifyfreeindecomposable

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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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Holonomy groups of G₂^*-manifolds

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