Complex Geometry of Nature and General Relativity
by Giampiero Esposito
Publisher: arXiv 1999
Number of pages: 229
Description:
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.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
![Book cover: Dynamics in One Complex Variable](images/2990.jpg)
by John Milnor - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
(15985 views)
![Book cover: Complex Manifolds](images/11542.jpg)
by Julius Ross - Stanford University
From the table of contents: Complex Manifolds; Almost Complex Structures; Differential Forms; Poincare Lemma; Sheaves and Cohomology; Several Complex Variables; Holomorphic Vector Bundles; Kaehler Manifolds; Hodge Theory; Lefschetz Theorems; etc.
(5690 views)
![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.
(8065 views)
![Book cover: Complex Manifolds and Hermitian Differential Geometry](images/4643.jpg)
by Andrew D. Hwang - University of Toronto
The intent is not to give a thorough treatment of the algebraic and differential geometry of complex manifolds, but to introduce the reader to material of current interest as quickly as possible. A number of interesting examples is provided.
(11759 views)