Geodesic
Nearly Parallel G2-structures with Large Symmetry Group
Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 339-359

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DOI

We prove the existence of a one-parameter family of nearly parallel G2-structures on the manifold $\text{S}^{3}\times \mathbb{R}^{4}$, which are mutually non-isomorphic and invariant under the cohomogeneityone action of the group SU(2)3. This family connects the two locally homogeneous nearly parallel G2-structures that are induced by the homogeneous ones on the sphere S7.
DOI : 10.4153/S0008414X19000634
Mots-clés : Nearly parallel G2-structures, cohomogeneity one actions, Einstein metrics 
Podestà, Fabio. Nearly Parallel G2-structures with Large Symmetry Group. Canadian journal of mathematics, Tome 73 (2021) no. 2, pp. 339-359. doi: 10.4153/S0008414X19000634
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     title = {Nearly {Parallel} {G2-structures} with {Large} {Symmetry} {Group}},
     journal = {Canadian journal of mathematics},
     pages = {339--359},
     year = {2021},
     volume = {73},
     number = {2},
     doi = {10.4153/S0008414X19000634},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000634/}
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