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.
Symplectic Geometry Paracontact Manifold Hamiltonian Formalism Mechanical System Dynamic Equation
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.
Symplectic Geometry Paracontact Manifold Hamiltonian Formalism Mechanical System Dynamic Equation
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Yayımlanma Tarihi | 30 Aralık 2020 |
Gönderilme Tarihi | 1 Haziran 2020 |
Kabul Tarihi | 19 Ekim 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 4 Sayı: 2 |