Contact geometry is a branch of differential geometry that studies geometric structures called contact structures. These structures are defined on odd-dimensional manifolds and provide a way to understand the behavior of curves and surfaces. Contact geometry has applications in various fields, including mechanics, robotics, and thermodynamics. In contact geometry, a contact structure can be thought of as a way to define a "direction" at each point of a manifold. This direction helps in analyzing the properties of dynamical systems and can be used to study symplectic geometry, which deals with even-dimensional manifolds. The interplay between these two areas enriches our understanding of geometric and physical phenomena.