4 papers
Normal sub-Riemannian geodesics related to filtrations of Lie algebras
Bozidar Jovanovic, Tijana Sukilovic, Srdjan Vukmirovic
There is a natural way to construct sub-Riemannian structures that depend on parameters on compact Lie groups. These structures are related to the filtrations of Lie subalgebra…
Contact magnetic geodesic and sub-Riemannian flows on and integrable cases of a heavy rigid body with a gyrostat
Bozidar Jovanovic
We prove the integrability of magnetic geodesic flows of --invariant Riemannian metrics on the rank two Stefel variety with respect to the magnetic field ,…
Classical relativistic nonholonomic mechanics and time-dependent -Chaplygin systems with affine constraints
Bozidar Jovanovic
We study the relativistic formulation of a classical time-dependent nonholonomic Lagrangian mechanics from the perspective of moving frames. We also introduce time-dependent -Ch…
D'Alamebrt and Hamiltonian principles and classical relativity in Lagrangian mechanics
Bozidar Jovanovic
In this note we present invariant formulation of the d'Alambert principle and classical time-dependent Lagrangian mechanics with holonomic constraints from the perspective of movin…