Para-Sasakian $\phi$-symmetric spaces
Differential Geometry
2023-12-25 v1
Abstract
We study the Boothby-Wang fibration of para-Sasakian manifolds and introduce the class of para-Sasakian -symmetric spaces, canonically fibering over para-Hermitian symmetric spaces. Using this fibration we give a method to explicitly construct semisimple para-Sasakian -symmetric spaces. We provide moreover an example of non-semisimple para-Sasakian -symmetric space.
Keywords
Cite
@article{arxiv.2312.14707,
title = {Para-Sasakian $\phi$-symmetric spaces},
author = {Eugenia Loiudice},
journal= {arXiv preprint arXiv:2312.14707},
year = {2023}
}
Comments
30 pages