We provide the complete classification of seven-dimensional manifolds endowed with a closed non-parallel G2-structure and admitting a transitive reductive group G of automorphisms. In particular, we show that the center of G is one-dimensional and the manifold is the Riemannian product of a flat factor and a non-compact homogeneous six-dimensional manifold endowed with an invariant strictly symplectic half-flat SU(3)-structure.

Closed G_2-structures with a transitive reductive group of automorphisms

Raffero, Alberto
2021-01-01

Abstract

We provide the complete classification of seven-dimensional manifolds endowed with a closed non-parallel G2-structure and admitting a transitive reductive group G of automorphisms. In particular, we show that the center of G is one-dimensional and the manifold is the Riemannian product of a flat factor and a non-compact homogeneous six-dimensional manifold endowed with an invariant strictly symplectic half-flat SU(3)-structure.
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https://arxiv.org/abs/1911.13052
https://www.intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0025/0006/a006/index.php
Podestà, Fabio; Raffero, Alberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1877697
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