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Author : T. N. Bailey,R. J. Baston
Publisher : Cambridge University Press
Page : 395 pages
File Size : 46,5 Mb
Release : 1990-08-23
Category : Mathematics
ISBN : 9780521397834
This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.
Author : T. N. Bailey
Publisher : Unknown
Page : 396 pages
File Size : 43,9 Mb
Release : 1990
Category : Electronic
ISBN : 110709433X
This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.
Author : T. N. Bailey,Robert J. Baston
Publisher : Unknown
Page : 384 pages
File Size : 44,5 Mb
Release : 1990
Category : Electronic books
ISBN : 1107091225
Twistor theory has become a diverse subject as it has spread from its origins in theoretical physics to applications in pure mathematics. This 1990 collection of review articles covers the considerable progress made in a wide range of applications such as relativity, integrable systems, differential and integral geometry and representation theory. The articles explore the wealth of geometric ideas which provide the unifying themes in twistor theory, from Penrose's quasi-local mass construction in relativity, to the study of conformally invariant differential operators, using techniques of representation theory.
Author : R. S. Ward,Raymond O'Neil Wells (Jr.)
Publisher : Cambridge University Press
Page : 534 pages
File Size : 52,9 Mb
Release : 1990
Category : Mathematics
ISBN : 052142268X
Deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, and several complex variables.
Author : L.J. Mason,L. Hughston
Publisher : CRC Press
Page : 292 pages
File Size : 55,7 Mb
Release : 1995-04-04
Category : Mathematics
ISBN : 0582004659
Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory. It have since developed into a broad, many-faceted programme that attempts to resolve basic problems in physics by encoding the structure of physical fields and indeed space-time itself into the complex analytic geometry of twistor space. Twistor theory has important applications in diverse areas of mathematics and mathematical physics. These include powerful techniques for the solution of nonlinear equations, in particular the self-duality equations both for the Yang-Mills and the Einstein equations, new approaches to the representation theory of Lie groups, and the quasi-local definition of mass in general relativity, to name but a few. This volume and its companions comprise an abundance of new material, including an extensive collection of Twistor Newsletter articles written over a period of 15 years. These trace the development of the twistor programme and its applications over that period and offer an overview on the current status of various aspects of that programme. The articles have been written in an informal and easy-to-read style and have been arranged by the editors into chapter supplemented by detailed introductions, making each volume self-contained and accessible to graduate students and nonspecialists from other fields. Volume II explores applications of flat twistor space to nonlinear problems. It contains articles on integrable or soluble nonlinear equations, conformal differential geometry, various aspects of general relativity, and the development of Penrose's quasi-local mass construction.
Author : Peter Woit
Publisher : Random House
Page : 306 pages
File Size : 53,6 Mb
Release : 2011-08-31
Category : Science
ISBN : 9781446443019
Not Even Wrong is a fascinating exploration of our attempts to come to grips with perhaps the most intellectually demanding puzzle of all: how does the universe work at its most fundamnetal level? The book begins with an historical survey of the experimental and theoretical developments that led to the creation of the phenomenally successful 'Standard Model' of particle physics around 1975. Despite its successes, the Standard Model does not answer all the key questions and physicists continuing search for answers led to the development of superstring theory. However, after twenty years, superstring theory has failed to advance beyond the Standard Model. The absence of experimental evidence is at the core of this controversial situation which means that it is impossible to prove that superstring theory is either right or wrong. To date, only the arguments of the theory's advocates have received much publicity. Not Even Wrong provides readers with another side of the story.
Author : S. A. Huggett,K. P. Tod
Publisher : Cambridge University Press
Page : 196 pages
File Size : 55,8 Mb
Release : 1994
Category : Mathematics
ISBN : 0521456894
Evolving from graduate lectures given in London and Oxford, this introduction to twistor theory and modern geometrical approaches to space-time structure will provide graduate students with the basics of twistor theory, presupposing some knowledge of special relativity and differenttial geometry.
Author : L.J. Mason,L.P. Hughston,P.Z. Kobak
Publisher : CRC Press
Page : 289 pages
File Size : 41,6 Mb
Release : 2023-05-31
Category : Mathematics
ISBN : 9781000658118
Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory. It have since developed into a broad, many-faceted programme that attempts to resolve basic problems in physics by encoding the structure of physical fields and indeed space-time itself into the complex analytic geometry of twistor space. Twistor theory has important applications in diverse areas of mathematics and mathematical physics. These include powerful techniques for the solution of nonlinear equations, in particular the self-duality equations both for the Yang-Mills and the Einstein equations, new approaches to the representation theory of Lie groups, and the quasi-local definition of mass in general relativity, to name but a few. This volume and its companions comprise an abundance of new material, including an extensive collection of Twistor Newsletter articles written over a period of 15 years. These trace the development of the twistor programme and its applications over that period and offer an overview on the current status of various aspects of that programme. The articles have been written in an informal and easy-to-read style and have been arranged by the editors into chapter supplemented by detailed introductions, making each volume self-contained and accessible to graduate students and non-specialists from other fields. Volume II explores applications of flat twistor space to nonlinear problems. It contains articles on integrable or soluble nonlinear equations, conformal differential geometry, various aspects of general relativity, and the development of Penrose's quasi-local mass construction.
Author : Maciej Dunajski
Publisher : Oxford University Press
Page : 374 pages
File Size : 40,5 Mb
Release : 2010
Category : Mathematics
ISBN : 9780198570622
A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
Author : Stephen Huggett
Publisher : Routledge
Page : 288 pages
File Size : 49,7 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781351406550
Presents the proceedings of the recently held conference at the University of Plymouth. Papers describe recent work by leading researchers in twistor theory and cover a wide range of subjects, including conformal invariants, integral transforms, Einstein equations, anti-self-dual Riemannian 4-manifolds, deformation theory, 4-dimensional conformal structures, and more.;The book is intended for complex geometers and analysts, theoretical physicists, and graduate students in complex analysis, complex differential geometry, and mathematical physics.
Author : L.J. Mason,L. Hughston
Publisher : Chapman and Hall/CRC
Page : 288 pages
File Size : 42,9 Mb
Release : 1995-04-04
Category : Mathematics
ISBN : 0582004659
Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory. It have since developed into a broad, many-faceted programme that attempts to resolve basic problems in physics by encoding the structure of physical fields and indeed space-time itself into the complex analytic geometry of twistor space. Twistor theory has important applications in diverse areas of mathematics and mathematical physics. These include powerful techniques for the solution of nonlinear equations, in particular the self-duality equations both for the Yang-Mills and the Einstein equations, new approaches to the representation theory of Lie groups, and the quasi-local definition of mass in general relativity, to name but a few. This volume and its companions comprise an abundance of new material, including an extensive collection of Twistor Newsletter articles written over a period of 15 years. These trace the development of the twistor programme and its applications over that period and offer an overview on the current status of various aspects of that programme. The articles have been written in an informal and easy-to-read style and have been arranged by the editors into chapter supplemented by detailed introductions, making each volume self-contained and accessible to graduate students and nonspecialists from other fields. Volume II explores applications of flat twistor space to nonlinear problems. It contains articles on integrable or soluble nonlinear equations, conformal differential geometry, various aspects of general relativity, and the development of Penrose's quasi-local mass construction.
Author : Roger Penrose,Wolfgang Rindler
Publisher : Cambridge University Press
Page : 516 pages
File Size : 44,7 Mb
Release : 1984
Category : Mathematics
ISBN : 0521347866
In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.
Author : Robert J. Baston,Michael G. Eastwood
Publisher : Courier Dover Publications
Page : 256 pages
File Size : 42,7 Mb
Release : 2016-10-28
Category : Mathematics
ISBN : 9780486816623
Geared toward students of physics and mathematics; presupposes no familiarity with twistor theory. "A huge amount of information, well organized and condensed into less than 200 pages." — Mathematical Reviews. 1989 edition.
Author : Stephen Huggett
Publisher : CRC Press
Page : 290 pages
File Size : 45,7 Mb
Release : 1994-11-15
Category : Science
ISBN : 0824793218
Presents the proceedings of the recently held conference at the University of Plymouth. Papers describe recent work by leading researchers in twistor theory and cover a wide range of subjects, including conformal invariants, integral transforms, Einstein equations, anti-self-dual Riemannian 4-manifolds, deformation theory, 4-dimensional conformal structures, and more.;The book is intended for complex geometers and analysts, theoretical physicists, and graduate students in complex analysis, complex differential geometry, and mathematical physics.
Author : Paul Gauduchon
Publisher : World Scientific
Page : 390 pages
File Size : 46,8 Mb
Release : 1988-10-01
Category : Mathematics
ISBN : 9789813201484
Harmonic mappings have played in recent years and will likely to play in the future an important role in Differential Geometry and Theoretical Physics, where they are known as s-models. These Proceedings develop both aspects of the theory, with a special attention to the constructive methods, in particular the so-called twistorial approach. It includes expository articles on the twistorial methods, the various appearence of σ-models in Physics, the powerful analytic theory of regularity of SCHOEN-UHLENBECK.
