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Certain homogeneous paracontact three-dimensional Lorentzian metrics

Ali Haji-Badali

Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab, Iran

E-mail Address: haji.badali@bonabu.ac.ir

E-mail Address: ahajibadali@gmail.com

Corresponding author.

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and

Elham Sourchi

Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab, Iran

E-mail Address: esoorchi@yahoo.com

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https://doi.org/10.1142/S1793557118500067Cited by:0 (Source: Crossref)

Abstract

In this paper, we study three-dimensional homogeneous paracontact metric manifolds for which the Reeb vector field of the underlying paracontact structure satisfies a nullity condition. We give example of paraSasakian and non-paraSasakian $(κ, μ)$ $(κ, μ)$ -manifolds. Finally, we exhibit explicit example of $η$ $η$ -Einstein manifolds.

Communicated by M. Muzychuk

Keywords:

AMSC: 53C50, 53C15, 53C25

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