English

Generalized symplectic symmetric spaces

Differential Geometry 2014-08-12 v1

Abstract

Bielavsky introduced and investigated the class of symmetric symplectic spaces, that is, symmetric spaces endowed with a symplectic form invariant with respect to symmetries. Since the theory of symmetric spaces has generalizations, we ask a question about their possible symplectic versions. We do construct such generalizations and extend some of Bieliavsky's results. In particular, we classify all 3-symmetric symplectic spaces.

Keywords

Cite

@article{arxiv.1302.0217,
  title  = {Generalized symplectic symmetric spaces},
  author = {Maciej Bochenski and Aleksy Tralle},
  journal= {arXiv preprint arXiv:1302.0217},
  year   = {2014}
}
R2 v1 2026-06-21T23:19:19.591Z