Conformal quaternionic contact curvature and the local sphere theorem
S Ivanov, D Vassilev - Journal de mathématiques pures et appliquées, 2010 - Elsevier
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 …
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 …
[PDF][PDF] CONFORMAL QUATERNIONIC CONTACT CURVATURE AND THE LOCAL SPHERE THEOREM. LA COURBURE CONFORME D'UNE STRUCTURE DE …
S IVANOV, D VASSILEV - arXiv preprint arXiv:0707.1289, 2007 - unm.edu
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 …
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 …
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