This thesis is concerned with an investigation of twistorial structures present in curved Lorentzian space-times.
Chapter 1 introduces the basic definitions and some theorems that will be used later in the text.
Chapter 2 investigates generalised connections that arise in twister theory. First the Cartan con-formal connection is studied, and some of the geometry underlying it is shown to be that used by Fefferman and Graham C133. ... [truncated at 450 characters in length]
|Author||Mason, L. J. (Lionel J.);|
|Subject||Twistor theory Space and time|
On a complex n-manifold with holomorphic projective connexion, any point has a neighbourhood U of which the space of geodesies has naturally the structure of a (Hausdorff) complex (2n-2)-manifold; it is shown that the complex structure of this auxiliary space encodes, in a sense, the original projective connexion by means of a complete analytic family of and#x2119;n-1's. Rather strikingly, small deformations of the space of geodesie ... [truncated at 450 characters in length]
|Subject||Geodesics (Mathematics) Manifolds (Mathematics) Space and time|