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2018 Centralizer of Reeb Vector Field in Contact Lie Groups
Babak Hassanzadeh
J. Geom. Symmetry Phys. 48(none): 23-31 (2018). DOI: 10.7546/jgsp-48-2018-23-31

Abstract

We consider the centralizer of Reeb vector field of a contact Lie group with a left invariant Riemannian metric while contact structure is left invariant. Then we decompose the Lie algebra of this Lie groups to centralizer of Reeb vector field and its orthogonal complement and using this decomposition the contact Lie group is investigated. Furthermore, in last section a special automorphism is defined and studied which it keeps the contact form.

Citation

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Babak Hassanzadeh. "Centralizer of Reeb Vector Field in Contact Lie Groups." J. Geom. Symmetry Phys. 48 23 - 31, 2018. https://doi.org/10.7546/jgsp-48-2018-23-31

Information

Published: 2018
First available in Project Euclid: 24 May 2018

zbMATH: 06944470
MathSciNet: MR3822798
Digital Object Identifier: 10.7546/jgsp-48-2018-23-31

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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