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
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Article |
Authors | |
Publication Date | December 30, 2020 |
Submission Date | June 1, 2020 |
Acceptance Date | October 19, 2020 |
Published in Issue | Year 2020 Volume: 4 Issue: 2 |