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• W2949078581 abstract "A tensor invariant is defined on a quaternionic contact manifold in terms of the curvature and torsion of the Biquard connection involving derivatives up to third order of the contact form. This tensor, called quaternionic contact conformal curvature, is similar to the Weyl conformal curvature in Riemannian geometry and to the Chern-Moser tensor in CR geometry. It is shown that a quaternionic contact manifold is locally quaternionic contact conformal to the standard flat quaternionic contact structure on the quaternionic Heisenberg group, or equivalently, to the standard 3-sasakian structure on the sphere iff the quaternionic contact conformal curvature vanishes." @default.
• W2949078581 created "2019-06-27" @default.
• W2949078581 creator A5019688367 @default.
• W2949078581 creator A5084682911 @default.
• W2949078581 date "2007-07-09" @default.
• W2949078581 modified "2023-09-27" @default.
• W2949078581 title "Conformal quaternionic contact curvature and the local sphere theorem" @default.
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• W2949078581 hasPublicationYear "2007" @default.
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