Para-Sasakian ϕ-symmetric spaces

2023/12/22 by Loiudice, Eugenia
#53C15 #53C30 #53D10 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.14707

Abstract

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

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