On Ricci-flat twistor theory
type: Item
instance of: scholarly article
title: On Ricci-flat twistor theory
zbMATH Open document ID: 0992.53036
published in: The Asian Journal of Mathematics
publication date: 2002-09-10T00:00:00Z
review text: The author of this interesting paper is the creator of the twistor theory. He defines the main purpose of the paper in the following way: ``The problem of introducing self-dual Weyl curvature into the geometry of twistor space has been referred to as the (gravitational) googly problem of twistor theory\dots{} Somewhat over a year ago, a new approach to the relevant googly geometry has come about (Penrose, 1999)\dots{} The purpose of this article is to point out that there is also a Riemannian version of the new googly geometry, although I have not worked out all the requirements for this. It is my hope that these ideas will be taken up seriously by someone and that there may be some interesting new things to say about general (neither self-dual nor anti-self-dual) Ricci-flat Riemannian \(4\)-spaces in accordance with these twistorial ideas. I can give only a very brief account on the new googly geometry here\dots{}''.
reviewed by: Johann Davidov
Mathematics Subject Classification ID: 53C28
Mathematics Subject Classification ID: 32L25
Mathematics Subject Classification ID: 81R25
Mathematics Subject Classification ID: 83C60
zbMATH DE Number: 1563285
zbMATH Keywords: twistor theory
MaRDI profile type: Publication
full work available at URL: ajm.1999.v3.n4.a2
OpenAlex ID: W4235327631
DOI: 10.4310/AJM.1999.V3.N4.A2
author: Roger Penrose
description: scientific article; zbMATH DE number 1563285