6 papers
Reduction,Induction and Ricci flat symplectic connections
Michel Cahen, Simone Gutt
In this paper we present a construction of Ricci-flat connections through an induction procedure. Given a symplectic manifold of dimension , we define induction as a wa…
Construction of Ricci-type connections by reduction and induction
Michel Cahen, Simone Gutt, Lorenz Schwachhoefer
Given the Euclidean space endowed with a constant symplectic structure and the standard flat connection, and given a polynomial of degree 2 on that space, Baguis and Ca…
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…
Marsden-Weinstein reduction for symplectic connections
P. Baguis, M. Cahen
We propose a reduction procedure for symplectic connections with symmetry. This is applied to coadjoint orbits whose isotropy is reductive.
A construction of symplectic connections through reduction
P. Baguis, M. Cahen
We give an elementary construction of symplectic connections through reduction. This provides an elegant description of a class of symmetric spaces and gives examples of symplectic…
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…