542 citations
- Ghent University HospitalBE4 papers
- Azerbaijan National Academy of SciencesAZ3 papers
- Universidade do Estado do Rio de JaneiroBR3 papers
- University of GlasgowGB3 papers
- University of MichiganUS3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Istituto Superiore di SanitàIT2 papers
- National Institute for Subatomic PhysicsNL2 papers
- University of TorontoCA2 papers
- University of ZagrebHR2 papers
- VIB-UGent Center for Plant Systems BiologyBE2 papers
- Vrije Universiteit AmsterdamNL2 papers
6 papers · 1 filter
Relative equilibria of Lagrangian systems with symmetry
M. Crampin, T. Mestdag
We discuss the characterization of relative equilibria of Lagrangian systems with symmetry.
Routh's procedure for non-Abelian symmetry groups
M. Crampin, T. Mestdag
We extend Routh's reduction procedure to an arbitrary Lagrangian system (that is, one whose Lagrangian is not necessarily the difference of kinetic and potential energies) with a s…
The fundamental form of a homogeneous Lagrangian in two independent variables
D. J. Saunders, M. Crampin
We construct, for a homogeneous Lagrangian of arbitrary order in two independent variables, a differential 2-form with the property that it is closed precisely when the Lagrangian…
A Recursive Scheme of First Integrals of the Geodesic Flow of a Finsler Manifold
Willy Sarlet
We review properties of so-called special conformal Killing tensors on a Riemannian manifold and the way they give rise to a Poisson-Nijenhuis structure on the tangent bund…
Geometric aspects of the Maximum Principle and lifts over a bundle map
B. Langerock
A coordinate-free proof of the Maximum Principle is provided in the specific case of an optimal control problem with fixed time. Our treatment heavily relies on a special notion of…
Leafwise holonomy of connections over a bundle map
B. Langerock
In this paper we introduce a generalisation of the notion of holonomy for connections over a bundle map on a principal fibre bundle. We prove that, as in the standard theory on pri…