Abstract
Given a pair (semispray S, almost symplectic form ? on a tangent bundle, the family of nonlinear connections N such that ? is recurrent with respect to (S,N) with a fixed recurrent factor is determined by using the Obata tensors. In particular, we obtain a characterization for a pair (N, ?) to be recurrent as well as for the triple (S, cN, ?) where cN is the canonical nonlinear connection of the semispray S. In the particular case of vanishing recurrence factor we get the family of almost Fedosov structures associated to a fixed semispray and almost symplectic structure. For a triple (semispray S, almost symplectic form ?, metric g), a characterization for existence of a corresponding almost metriplectic structure is obtained.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.