Abstract
We consider odd-dimensional Lie algebras g equipped with a paracontact metric structure. In the case of non-trivial center, paracontact Lie algebras are obtained as central extensions of almost paraKähler Lie algebras. As such, they are necessarily K-paracontact, and a complete classification is given in dimension five, also specifying the paraSasakian examples. Thus, paracontact, not K-paracontact structures can only occur among Lie algebras with trivial center. Starting from the classification of five-dimensional contact Lie algebras given in [17], examples with trivial center, both K-paracontact and not, are explicitly discussed and classified.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
