The Kähler form is a mathematical concept used in differential geometry, particularly in the study of complex manifolds. It is a closed, non-degenerate 2-form that arises from a Kähler metric, which combines both a Riemannian metric and a symplectic structure. This form plays a crucial role in understanding the geometric properties of complex spaces, such as those found in string theory and algebraic geometry. In a Kähler manifold, the Kähler form is derived from a scalar function known as the Kähler potential. This relationship allows for the study of complex structures and their interactions with symplectic geometry. The Kähler form is essential for various applications, including mathematical physics and complex analysis.