Open Access
2014 Geometrical Aspects of Paracontact Pair Structures
Adara M. Blaga
J. Geom. Symmetry Phys. 34: 1-12 (2014). DOI: 10.7546/jgsp-34-2014-1-12


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.


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Adara M. Blaga. "Geometrical Aspects of Paracontact Pair Structures." J. Geom. Symmetry Phys. 34 1 - 12, 2014.


Published: 2014
First available in Project Euclid: 27 May 2017

zbMATH: 1307.53020
MathSciNet: MR3236383
Digital Object Identifier: 10.7546/jgsp-34-2014-1-12

Rights: Copyright © 2014 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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