Further Advances in Twistor Theory, Volume III : Curved Twistor Spaces book cover
1st Edition

Further Advances in Twistor Theory, Volume III
Curved Twistor Spaces

Edited By

P.Z. Kobak


L.J. Mason

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ISBN 9781584880479
Published March 15, 2001 by Chapman & Hall
432 Pages 50 B/W Illustrations

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Book Description

Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory. At the same time, the theory continues to offer promising new insights into the nature of quantum theory and gravitation.

Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces is actually the fourth in a series of books compiling articles from Twistor Newsletter-a somewhat informal journal published periodically by the Oxford research group of Roger Penrose. Motivated both by questions in differential geometry and by the quest to find a twistor correspondence for general Ricci-flat space times, this volume explores deformed twistor spaces and their applications.

Articles from the world's leading researchers in this field-including Roger Penrose-have been written in an informal, easy-to-read style and arranged in four chapters, each supplemented by a detailed introduction. Collectively, they trace the development of the twistor programme over the last 20 years and provide an overview of its recent advances and current status.

Table of Contents

The Nonlinear Graviton and Related Constructions. Spaces of Complex Null Geodesics. Hypersurface Twistors and Cauchy-Riemann Structures. Towards a Twistor Description of General Space-Times

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St Peter’s College and the Mathematical Institute, Oxford, King’s College London, Instytut Matematyki, Uniwersytet Jagiellonski Kraków, Center for Mathematical Sciences, Munich University of Technology, Munich


"… In summary, these articles contain many interesting facts and provocative ideas that do not otherwise appear in the published literature."
-Mathematical Reviews