**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

**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.

(

**9467**views)

**Dynamics in One Complex Variable**

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.

(

**10127**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.

(

**1221**views)

**Kähler-Einstein metrics: Old and New**

by

**Daniele Angella, Cristiano Spotti**-

**arXiv.org**

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 author's course.

(

**1009**views)