Work

Para-Sasakian $$\phi -$$symmetric spaces

Year: 2024

Type: article

Abstract: We study the Boothby–Wang fibration of para-Sasakian manifolds and introduce the class of para-Sasakian $$\phi $$ ϕ -symmetric spaces, canonically fibering over para-Hermitian symmetric spaces. We remark that in contrast to the Hermitian setting the center of the isotropy group of a simple para-Hermitian symmetric space G/H can be either one- or two-dimensional, and prove that the associated metric is not necessarily the G-invariant extension of the Killing form of G. Using the Boothby–Wang fibration and the classification of semisimple para-Hermitian symmetric spaces, we explicitly construct semisimple para-Sasakian $$\phi $$ ϕ -symmetric spaces fibering over semisimple para-Hermitian symmetric spaces. We provide moreover an example of non-semisimple para-Sasakian $$\phi $$ ϕ -symmetric space.

Source: Annals of Global Analysis and Geometry

DOI: 10.1007/s10455-024-09980-x

Author: Eugenia Loiudice

Institution: Philipps University of Marburg

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Philipps-Universität Marburg