**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 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.

(

**12165**views)

**Quantum Physics, Relativity, and Complex Spacetime**

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.

(

**9478**views)

**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.

(

**1228**views)

**Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Forms**

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.

(

**3863**views)