A Nearly Quaternionic Structure on SU(3)

Abstract

It is shown that the compact Lie group SU(3) admits an Sp(2)Sp(1)-structure whose distinguished 2-forms ${\omega }_1,{\omega }_2,{\omega }_3$ span a differential ideal. This is achieved by first reducing the structure further to a subgroup isomorphic to SO(3).

References in corpus (2)

• Conformal equivalence between certain geometries in dimension 6 and 7
• Invariant forms, associated bundles and Calabi-Yau metrics

Cited by in corpus (3)

• Explicit Quaternionic Contact Structures and Metrics with Special Holonomy
• Quaternionic Kaehler and Spin(7) metrics arising from quaternionic contact Einstein structures
• Homogeneous almost quaternion-Hermitian manifolds