Lectures on Kahler Geometry pdf epub mobi txt 电子书 下载 2025
- 数学
- Kahler几何
- on
- Lectures
- LMSST
- Kahler
- Geometry
- 数学
- 几何学
- 凯勒几何
- 微分几何
- 复几何
- 拓扑学
- 代数几何
- 讲义
- 数学分析
- 高等数学
具体描述
Kahler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained 2007 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 Kahler identities. The final part of the text studies several aspects of compact Kahler manifolds: the Calabi conjecture, Weitzenbock 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.
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