Extrinsic symplectic symmetric spaces

Mathematics – Symplectic Geometry

Scientific paper

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Scientific paper

10.1016/j.geomphys.2008.11.013

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 of a complete classification of these manifolds. We
also build a natural star-quantization on a class of examples.

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