Staff profile

Professor Willy Sarlet

Adjunct Professor

Faculty of Science, Technology and Engineering

School of Engineering and Mathematical Sciences
Department of Mathematics and Statistics

Physical Sciences, Room 314, Melbourne (Bundoora)

 

Area of study

Mathematics and Statistics

Brief profile

Research interests:

- Lagrangian mechanics on Lie algebroids and generalisations of bi-Hamiltonian systems - Modelling of non-holonomic mechanics - Symmetry and reduction of mechanical systems - The inverse problem of the calculus of variations - Theory and applications of connections - Geometry of systems of second-order differential equations - Differential geometry applied to problems in mechanics and to the study of dynamical systems

Recent publications

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.