Extrinsic symplectic symmetric spaces
Michel Cahen, Simone Gutt, Nicolas Richard, Lorenz Schwachhoefer

TL;DR
This paper introduces extrinsic symplectic symmetric spaces, explores their properties, constructs numerous examples, and develops a star-quantization method for some of these manifolds.
Contribution
It defines extrinsic symplectic symmetric spaces, provides a classification framework, and introduces a star-quantization approach for specific cases.
Findings
Construction of large families of extrinsic symplectic symmetric spaces
Properties and classification of these spaces
Development of a star-quantization method for certain examples
Abstract
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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