9th MATHEMATICAL PHYSICS MEETING:
School and Conference on Modern Mathematical Physics

18 - 23 September 2017, Belgrade, Serbia




Kalemegdan

    Main page

    General information 

    Programme

    Committees

    Lecturers/speakers 

    Participants

    Registration

    Payment instructions

    Travel and visas

    Accommodation

    Practical information

    Poster

    Previous meetings 

    Proceedings 

    Sponsors

Abstracts

Mihai Visinescu

Complete integrability in toric contact geometry

We describe the completely integrable Hamiltonian systems in the setting of contact geometry. Unlike the symplectic case, contact structures are automatically Hamiltonian. Choosing a contact one-form \eta, the function \eta(X) is called the contact Hamiltonian associated to the contact vector field X. It is convenient to choose the function \eta(R_{\eta}) = 1 as the Hamiltonian, making the Reeb vector field R_{\eta} the Hamiltonian vector field. Using the Jacobi bracket defined on a contact manifold, we discuss the commutativity of the first integrals for contact Hamiltonian systems and introduce the generalized contact action-angle variables. We exemplify the general scheme in the case of the five-dimensional T^{1,1} and Y^{p,q} Sasaki-Einstein spaces.

References:

[1] M. Visinescu, Eur. Phys. J. C 76, 498 (2016).
[2] M. Visinescu, Prog. Theor. Exp. Phys. 2017, 013A01 (2017).
[3] M. Visinescu, arXiv:1704.04034.


Organizer:

Institute of Physics Belgrade
(University of Belgrade)

Belgrade, Serbia


Co-organizers:

Mathematical Institute
(Serbian Academy of Sciences and Arts)

Belgrade, Serbia

and

Faculty of Mathematics
(University of Belgrade)

Belgrade, Serbia


E-mail: mphys9@ipb.ac.rs