Staff profile

Qualifications

• Lic.(Maths)(Ghent), DrSc.(Maths)(Ghent), Habilitation(Ghent).

Research interests

• Differential geometry applied to problems in mechanics and to the study of dynamical systems. Including topics; the geometry of systems of second-order ordinary differential equations, theory and applications of connections, the inverse problem of the calculus of variations, symmetry and reduction of mechanical systems, modelling of non-holonomic mechanics, Lagrangian mechanics on Lie algebroids and generalisations of bi-Hamiltonian systems.

Recent key publications and presentations

• W. Sarlet. A recursive scheme of first integrals of the geodesic flow of a Finsler manifold. SIGMA, 3, 024 (9 pages), 2007.
• D. Krupka, O. Krupkova, G. Prince and W. Sarlet. Contact symmetries of the Helmholtz form. Diff. Geometry and its Applications, 25, 518–542, 2007.
• W. Sarlet and W. Vanbiervliet. Geometric characterization of driven cofactor systems. J. Phys. A, 41, 042001 (10pp), 2008.
• W. Sarlet. Linear connections along the tangent bundle projection. In: Variations, Geometry and Physics, Volume in honour of D. Krupka’s 65th birthday, Nova Science Publishers, (25 pages), 2008.
• Applications of the geometric calculus of second-order ordinary differential equations. The University of Michigan, Ann Arbor (USA), 2008.
• Non-conservative mechanical systems of cofactor type. 1038th AMS Meeting, Bloomington, Indiana (USA), 2008.
• Conservation laws in non-holonomic mechanics from non-symmetries. 7th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Arlington, Texas (USA), 2008.
• W. Sarlet, G.E. Prince and M. Crampin. Generalized submersiveness of second-order ordinary differential equations. Submitted for publication.