✦ LIBER ✦

Lectures on Kaehler geometry

✍ Scribed by Andrei Moroianu

Book ID: 127405030
Publisher: Cambridge University Press
Year: 2007
Tongue: English
Weight: 751 KB
Series: London Mathematical Society Student Texts
Edition: 1
Category: Library
ISBN: 0521868912

No coin nor oath required. For personal study only.

✦ Synopsis

Kähler 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. Kähler 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 Kähler identities. The final part of the text studies several aspects of compact Kähler manifolds: the Calabi conjecture, Weitzenböck 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.

📜 SIMILAR VOLUMES

Lectures on Kaehler geometry

✍ Andrei Moroianu 📂 Library 📅 2007 🏛 Cambridge University Press 🌐 English ⚖ 542 KB

Lectures on Symplectic Geometry

✍ Ana Cannas da Silva (auth.) 📂 Library 📅 2001 🏛 Springer 🌐 English ⚖ 2 MB

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures,

Lectures on differential geometry

✍ Shiing-Shen Chern, W. H. Chen, K. S. Lam 📂 Library 📅 1999 🏛 World Scientific Publishing Company 🌐 English ⚖ 3 MB

This is a translation of an introductory text based on a lecture series delivered by the renowned differential geometer, Professor S.S. Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, sought to combine simplicity and economy of

Lectures on differential geometry

✍ Shiing-Shen Chern, W. H. Chen, K. S. Lam 📂 Library 📅 1999 🏛 World Scientific Publishing Company 🌐 English ⚖ 2 MB

Lectures on Arakelov geometry

✍ C. Soulé, D. Abramovich, J. F. Burnol, J. K. Kramer 📂 Library 📅 1992 🏛 Cambridge University Press 🌐 English ⚖ 1 MB

Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry, in the sense of Grothendieck, with refined analytic tools such as currents on complex manifolds and the spectrum of Laplace operators. It has been used by Faltings and Vojta in their proofs of outst

Lectures on symplectic geometry

✍ Cannas da Silva A. 📂 Library 📅 2000 🏛 Springer 🌐 English ⚖ 998 KB

The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text covers symplectomorphisms, local forms, contact manifold, compatible almost complex structures, Kaeh