English

Extrinsic symplectic symmetric spaces

Symplectic Geometry 2009-11-13 v1

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.

Keywords

Cite

@article{arxiv.0805.3913,
  title  = {Extrinsic symplectic symmetric spaces},
  author = {Michel Cahen and Simone Gutt and Nicolas Richard and Lorenz Schwachhoefer},
  journal= {arXiv preprint arXiv:0805.3913},
  year   = {2009}
}
R2 v1 2026-06-21T10:44:06.984Z