3 papers
math.DG2007
Affine connections with W=0
Francis Burstall, John Rawnsley
For a torsionless connection on the tangent bundle of a manifold M the Weyl curvature W is the part of the curvature in kernel of the Ricci contraction. We give a coordinate free p…
math.SG2002
Moduli space of symplectic connections of Ricci type on ; a formal approach
M. Cahen, S. Gutt, J. Horowitz +1
We consider analytic curves of symplectic connections of Ricci type on the torus with the standard connection. We show, by a recursion argument, that…
math.SG1999
Symmetric symplectic spaces with Ricci-type curvature
M. Cahen, S. Gutt, J. Rawnsley
We determine the isomorphism classes of symmetric symplectic manifolds of dimension at least 4 which are connected, simply-connected and have a curvature tensor which has only one…