## Journal of Geometry and Symmetry in Physics

### Geometrical Aspects of Paracontact Pair Structures

#### Abstract

We introduce the notion of (metric) paracontact pair structure and establish certain properties of the characteristic foliations associated to it. We also consider normal paracontact pair structures and provide necessary and sufficient conditions for a paracontact pair structure to be normal. In particular, we formulate an analogue of Morimoto's theorem for product manifolds. Finally, we describe a way to obtain a metric paracontact pair structure on the total space of a principal $\mathbb{S}^1$-bundle via the Boothby-Wang construction.

#### Article information

Source
J. Geom. Symmetry Phys., Volume 34 (2014), 1-12.

Dates
First available in Project Euclid: 27 May 2017

https://projecteuclid.org/euclid.jgsp/1495850584

Digital Object Identifier
doi:10.7546/jgsp-34-2014-1-12

Mathematical Reviews number (MathSciNet)
MR3236383

Zentralblatt MATH identifier
1307.53020

#### Citation

Blaga, Adara M. Geometrical Aspects of Paracontact Pair Structures. J. Geom. Symmetry Phys. 34 (2014), 1--12. doi:10.7546/jgsp-34-2014-1-12. https://projecteuclid.org/euclid.jgsp/1495850584