Kähler-Einstein metrics: Old and New
by Daniele Angella, Cristiano Spotti
Publisher: arXiv.org 2017
Number of pages: 48
Description:
We present classical and recent results on Kaehler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for the SMI course 'Kaehler-Einstein metrics' given by C.S. in Cortona (Italy), May 2017.
Download or read it online for free here:
Download link
(700KB, PDF)
Similar books
![Book cover: Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Forms](images/8191.jpg)
by Alfonso Romero, Young Jin Suh
From the table of contents: Chapter 1. Linear preliminaries; Chapter 2. Indefinite Kaehler manifolds; Chapter 3. Complex hypersurfaces; Chapter 4. Complex submanifolds; Chapter 5. Totally real bisectional curvature; and more.
(8159 views)
![Book cover: Lectures On Levi Convexity Of Complex Manifolds And Cohomology Vanishing Theorems](images/7109.jpg)
by E. Vesentini - Tata Institute Of Fundamental Research
These are notes of lectures which the author gave in the winter 1965. Topics covered: Vanishing theorems for hermitian manifolds; W-ellipticity on Riemannian manifolds; Local expressions for and the main inequality; Vanishing Theorems.
(9666 views)
![Book cover: Quantum Physics, Relativity, and Complex Spacetime](images/5767.jpg)
by Gerald Kaiser - University of Massachusetts at Lowell
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.
(14846 views)
![Book cover: Complex Geometry of Nature and General Relativity](images/blank.gif)
by Giampiero Esposito - arXiv
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
(16878 views)