Kähler Geometry is a branch of differential geometry that studies a special type of manifold called a Kähler manifold. These manifolds have a rich structure, combining both symplectic and complex geometries. A Kähler manifold is characterized by a Kähler metric, which allows for the definition of a compatible symplectic form and a complex structure. The significance of Kähler Geometry lies in its applications across various fields, including string theory, algebraic geometry, and mathematical physics. Kähler manifolds often exhibit properties that make them easier to analyze, such as being Ricci-flat or having special holonomy, which are important in understanding the geometry of higher-dimensional spaces.