Add to ORKGAbstract: We prove that if a surjective submersion which is a homomorphism of Lie algebroids is given, then there exists another homomorphism between the cor-responding prolonged Lie algebroids and a relation between the dynamics on these Lie algebroid prolongations is established. We also propose a geometric reduction method for dynamics on Lie algebroids defined by a Lagrangian and the method is applied to regular Lagrangian systems with nonholonomic constraints
This paper develops the notion of implicit Lagrangian systems on Lie algebroids and a Hamilton--Jaco...
The approach to nonholonomic Ricci flows and geometric evolution of regular Lagrange systems [S. Vac...
The generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the ev...
We prove that if a surjective submersion which is a homomorphism of Lie algebroids is given, then th...
We prove that if a surjective submersion which is a homomorphism of Lie algebroids is given, then th...
Abstract. This paper presents a geometric description on Lie algebroids of Lagrangian systems subjec...
Abstract. A geometric description of Lagrangian Mechanics on Lie algebroids is developed in a parall...
The study of mechanical systems on Lie algebroids permits an understanding of the dynamics described...
Abstract. In this survey, we present a geometric description of Lagrangian and Hamiltonian Mechanics...
Abstract. A geometric description of Lagrangian and Hamiltonian Mechan-ics on Lie algebroids is deve...
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symme...
Abstract: Based on the ideas of Marsden-Ratiu, a reduction method for Lie al-gebroids is developed i...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...
This note intends to establish a link between the description of dynamics on a Lie algebroid defined...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...
This paper develops the notion of implicit Lagrangian systems on Lie algebroids and a Hamilton--Jaco...
The approach to nonholonomic Ricci flows and geometric evolution of regular Lagrange systems [S. Vac...
The generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the ev...
We prove that if a surjective submersion which is a homomorphism of Lie algebroids is given, then th...
We prove that if a surjective submersion which is a homomorphism of Lie algebroids is given, then th...
Abstract. This paper presents a geometric description on Lie algebroids of Lagrangian systems subjec...
Abstract. A geometric description of Lagrangian Mechanics on Lie algebroids is developed in a parall...
The study of mechanical systems on Lie algebroids permits an understanding of the dynamics described...
Abstract. In this survey, we present a geometric description of Lagrangian and Hamiltonian Mechanics...
Abstract. A geometric description of Lagrangian and Hamiltonian Mechan-ics on Lie algebroids is deve...
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symme...
Abstract: Based on the ideas of Marsden-Ratiu, a reduction method for Lie al-gebroids is developed i...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...
This note intends to establish a link between the description of dynamics on a Lie algebroid defined...
It is well-known that the Poisson reduction of a hamiltonian system on the cotangent bundle of a man...
This paper develops the notion of implicit Lagrangian systems on Lie algebroids and a Hamilton--Jaco...
The approach to nonholonomic Ricci flows and geometric evolution of regular Lagrange systems [S. Vac...
The generalized Lie symmetries of almost regular Lagrangians are studied, and their impact on the ev...