Dergiler / Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi / 2020 / Cilt: 4 - Sayı: 2
Weyl-Hamilton Equations on 3-Dimensional Normal Almost Paracontact Metric Manifold
- Sayfa
- 40–53
- DOI
- —
Özet
Paracontact geometry is in many ways an odd-dimensional counterpart of symplectic geometry. Both paracontact and symplectic geometry are motivated by the mathematical formalism of classical, analytical and dynamical mechanics. A formulation of classical mechanics is Hamiltonian mechanics. The purpose of this paper is to study the Hamiltonian formalism for mechanical systems using 3-dimensional normal almost paracontact metric manifold.
Abstract
Paracontact geometry is in many ways an odd-dimensional counterpart of symplectic geometry. Both paracontact and symplectic geometry are motivated by the mathematical formalism of classical, analytical and dynamical mechanics. A formulation of classical mechanics is Hamiltonian mechanics. The purpose of this paper is to study the Hamiltonian formalism for mechanical systems using 3-dimensional normal almost paracontact metric manifold.