Twistor Geometry and Field Theory

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Cambridge University Press, Jul 26, 1991 - Mathematics - 520 pages
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This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of space-time and field theories. The book is designed to be used by mathematicians and physicists and so the authors have made it reasonably self-contained. The first part contains a development of the necessary mathematical background. In the second part, Yang-Mills fields and gravitational fields (the basic fields of contemporary physics) are described at the classical level. In the final part, the mathematics and physics are married to solve a number of field-theoretical problems.
  

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Contents

II
1
III
5
IV
7
V
19
VI
26
VII
28
VIII
36
IX
45
XXVIII
264
XXIX
270
XXX
279
XXXI
286
XXXIII
293
XXXIV
301
XXXV
303
XXXVI
325

X
68
XII
92
XIII
115
XIV
131
XV
148
XVI
149
XVII
166
XVIII
175
XIX
197
XX
208
XXI
218
XXII
241
XXIV
245
XXV
253
XXVI
258
XXVII
263
XXXVII
349
XXXVIII
354
XXXIX
371
XL
372
XLI
398
XLII
410
XLIII
422
XLIV
433
XLV
434
XLVI
459
XLVII
460
XLVIII
472
XLIX
485
L
504
Copyright

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About the author (1991)

Ward is with the University of Durham.

Wells-Rice University, Houston, TX

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