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Extrinsic symplectic symmetric spaces

By Michel Cahen, Simone Gutt, Nicolas Richard, Lorenz Schwachhöfer and Université Paul Verlaine Metz


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 ⋆-quantization on a class of examples

Year: 2013
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