4 citations · 8 across the 4 of their papers we have counts for
4 papers
Symmetric spaces rolling on flat spaces
V. Jurdjevic, I. Markina, F. Silva Leite
The objective of the current paper is essentially twofold. Firstly, to make clear the difference between two notions of rolling a Riemannian manifold over another, using a language…
Integrable Hamiltonian systems on symmetric spaces: Jacobi, Kepler and Moser
Velimir Jurdjevic
This paper defines a class of variational problems on Lie groups that admit involutive automorphisms. The maximum Principle of optimal control then identifies the appropriate left…
The symplectic structure of curves in three dimensional spaces of constant curvature and the equations of mathematical physics
Velimir Jurdjevic
This paper defines a symplectic form on the infinite dimensional Fréchet manifold of framed curves of fixed length over a simply connected Riemannian manifold of constant curvature…
Integrable Hamiltonian systems on Lie groups: Kowalevski type
Velimir Jurdjevic
The contributions of Sophya Kowalewski to the integrability theory of the equations for the heavy top extend to a larger class of Hamiltonian systems on Lie groups; this paper expl…