We describe the 8-dimensional Wolf spaces as cohomogeneity one SU (3) -manifolds, and discover perturbations of the quaternion-kähler metric on the simply-connected 8-manifold G_2 /SO (4) that carry a closed fundamental 4-form but are not Einstein
Conti, D., Madsen, T., Salamon, S. (2018). Quaternionic geometry in dimension 8. In Jørgen Ellegaard Andersen, Andrew Dancer, Oscar García-Prada (a cura di), Geometry and Physics: Volume I. A Festschrift in honour of Nigel Hitchin (pp. 91-114). Oxford University Press [10.1093/oso/9780198802013.003.0005].
Quaternionic geometry in dimension 8
Conti, D;
2018
Abstract
We describe the 8-dimensional Wolf spaces as cohomogeneity one SU (3) -manifolds, and discover perturbations of the quaternion-kähler metric on the simply-connected 8-manifold G_2 /SO (4) that carry a closed fundamental 4-form but are not Einstein
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