Lectures on Kahler Geometry

Khler 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. Khler 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 Khler Identities. The Final Part Of The Text Studies Several Aspects Of Compact Khler Manifolds: The Calabi Conjecture Weitzenbck Techniques CalabiYau 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.