Lectures on Kähler GeometryK hler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self contained graduate text provides a concise and accessible introduction to the topic. The book begins with a review of basic differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. K hler manifolds are discussed from the point of view of Riemannian