We study the automorphism group of a compact 7-manifold M endowed with a closed non-parallel G2-structure, showing that its identity component is abelian with dimension bounded by min{6,b2(M)}. This implies the non-existence of compact homogeneous manifolds endowed with an invariant closed non-parallel G2-structure. We also discuss some relevant examples.

On the automorphism group of a closed G2-structure

Raffero, Alberto
2019

Abstract

We study the automorphism group of a compact 7-manifold M endowed with a closed non-parallel G2-structure, showing that its identity component is abelian with dimension bounded by min{6,b2(M)}. This implies the non-existence of compact homogeneous manifolds endowed with an invariant closed non-parallel G2-structure. We also discuss some relevant examples.
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https://academic.oup.com/qjmath/advance-article/doi/10.1093/qmath/hay045/5085245
closed G2-structure; automorphism
Podestà, Fabio; Raffero, Alberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1676269
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