7 citations · 17 across the 15 of their papers we have counts for
11 papers · 1 filter
Distributions associated to almost complex structures on symplectic manifolds
Michel Cahen, Maxime Gérard, Simone Gutt +1
We look at methods to select triples consisting of a symplectic manifold endowed with a compatible positive almost complex structure , in terms of the Nijenhui…
A possible symplectic framework for Radon-type transforms
Michel Cahen, Thibaut Grouy, Simone Gutt
Our project is to define Radon-type transforms in symplectic geometry. The chosen framework consists of symplectic symmetric spaces whose canonical connection is of Ricci-type. The…
Symplectic Dirac Operators and Mpc-structures
Michel Cahen, Simone Gutt, John Rawnsley
Given a symplectic manifold admitting a metaplectic structure, and choosing a positive -compatible almost complex structure and a linear connection preservi…
Transitive Subgroups of Transvections Acting on Some Symplectic Symmetric Spaces of Ricci Type
Michel Cahen, Simone Gutt, Amin D. Malik +1
Symmetric symplectic spaces of Ricci type are a class of symmetric symplectic spaces which can be entirely described by reduction of certain quadratic Hamiltonian systems in a symp…
Extrinsic symplectic symmetric spaces
Michel Cahen, Simone Gutt, Nicolas Richard +1
We define the notion of extrinsic symplectic symmetric spaces and exhibit some of their properties. We construct large families of examples and show how they fit in the perspective…
Symplectic connections
Pierre Bieliavsky, Michel Cahen, Simone Gutt +2
This article is an overview of the results obtained in recent years on symplectic connections. We present what is known about preferred connections (critical points of a variationa…