Dynamical Symmetries for Graded Vector Fields
DOI10.1080/1726037X.2019.1668146zbMath1499.58005OpenAlexW2991222178WikidataQ126806969 ScholiaQ126806969MaRDI QIDQ5029591
Dordi Mohammad Atayi, Esmaeil Azizpour
Publication date: 14 February 2022
Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/1726037x.2019.1668146
inverse problemsupermanifoldLagrangian systemsinvolutive distributionsecond-order differential equation field
Supermanifolds and graded manifolds (58A50) Analysis on supermanifolds or graded manifolds (58C50) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Vector distributions (subbundles of the tangent bundles) (58A30)
Cites Work
- Unnamed Item
- Recursion operators and constants of motion in supermechanics
- Geometrical foundations of Lagrangian supermechanics and supersymmetry
- Superstrings in higher order extensions of Finsler superspaces
- Geometric properties of involutive distributions on graded manifolds
- Singular Lagrangians in supermechanics.
- A geometrical version of Noether's theorem in supermechanics
- Reduction and reconstruction aspects of second-order dynamical systems with symmetry
- ON THE INVERSE PROBLEM OF LAGRANGIAN SUPERMECHANICS
- A new look at second-order equations and Lagrangian mechanics
- A geometric characterisation of Lagrangian second-order differential equations
- Symmetry theory and Lagrangian inverse problem for time-dependent second-order differential equations
- Second-order differential equations and non-conservative Lagrangian mechanics
- Hamiltonian versus Lagrangian formulations of supermechanics
- The symmetry in the structure of dynamical and adjoint symmetries of second-order differential equations
- Graded vector fields and involutive distributions on graded manifolds
This page was built for publication: Dynamical Symmetries for Graded Vector Fields