53 citations · 143 across the 20 of their papers we have counts for
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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…
Group Actions in Deformation Quantisation
Simone Gutt
This set of notes corresponds to a mini-course given in September 2018 in Bedlewo; it does not contain any new result; it complements -- with intersection -- the introduction to fo…
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…