**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

**Complex Manifolds**

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.

(

**2535**views)

**Lectures on Complex Analytic Manifolds**

by

**L. Schwartz**-

**Tata Institute of Fundamental Research**

Topics covered: Differentiable Manifolds; C maps, diffeomorphisms. Effect of a map; The Tensor Bundles; Existence and uniqueness of the exterior differentiation; Manifolds with boundary; Integration on chains; Some examples of currents; etc.

(

**7896**views)

**Complex Analytic and Differential Geometry**

by

**Jean-Pierre Demailly**-

**Universite de Grenoble**

Basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge theory, positive vector bundles, etc.

(

**13771**views)

**Complex Manifolds and Hermitian Differential Geometry**

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.

(

**8421**views)