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arXiv · 2312.14707

Para-Sasakian $\phi$-symmetric spaces

Eugenia Loiudice
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Abstract

We study the Boothby-Wang fibration of para-Sasakian manifolds and introduce the class of para-Sasakian $\phi$-symmetric spaces, canonically fibering over para-Hermitian symmetric spaces. Using this fibration we give a method to explicitly construct semisimple para-Sasakian $\phi$-symmetric spaces. We provide moreover an example of non-semisimple para-Sasakian $\phi$-symmetric space.

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Eugenia Loiudice. 2023-12-22. Para-Sasakian $\phi$-symmetric spaces. https://arxiv.org/abs/2312.14707

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