Kaehler 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.
Kahler manifolds are discussed from the point of view of Riemannian geometry, and Hodge
and Dolbeault theories are outlined, together with a simple proof of the famous Kaehler identities.
The final part of the text studies several aspects of compact Kaehler manifolds: the Calabi conjecture, Weitzenback techniques, Calabi–Yau manifolds, and divisors.
All sections of the book end with a series of exercises and students and researchers working in the fields of algebraic and differential geometry and theoretical physics will find that the book provides them with a sound understanding of this theory.