Advertisement

Introduction to Complex Space-Time

Part of the Fundamental Theories of Physics book series (FTPH, volume 69)

Abstract

This chapter begins by describing the physical and mathematical motivations for studying complex space-times or real Riemannian four-manifolds in gravitational physics. They originate from algebraic geometry, Euclidean quantum field theory, the path-integral approach to quantum gravity, and the theory of conformal gravity. The theory of complex manifolds is then briefly outlined. Here, one deals with paracompact Hausdorff spaces where local coordinates transform by complex-analytic transformations. Examples are given such as complex projective space P m non-singular sub-manifolds of P m , and orientable surfaces. The plan of the whole monograph is finally presented, with emphasis on two-component spinor calculus, Penrose transform and Penrose formalism for spin-3/2 potentials.

Keywords

Dirac Operator Complex Manifold Twistor Space Spinor Field Complex Projective Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Kluwer Academic Publishers 2002

Personalised recommendations