Abstract
We present a generalization of the Dirac structure in the direction of the Nambu-Poisson structure. It is shown that with every integrable Nambu-Dirac structure there is associated a Leibniz algebroid, which yields a singular foliation endowed with a closed form. The examples of Nambu-Dirac manifolds are Dirac manifolds, Nambu-Poisson manifolds and manifolds with closed forms. A different Leibniz algebroid structure associated with a Nambu-Poisson structure is adopted for this generalization.
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.
