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Twistor Geometry and Non-Linear Systems

Twistor Geometry and Non-Linear Systems PDF Author: H.D. Doebner
Publisher: Springer
ISBN: 3540394184
Category : Science
Languages : en
Pages : 222

Book Description


Twistor Geometry and Non-Linear Systems

Twistor Geometry and Non-Linear Systems PDF Author: H.D. Doebner
Publisher: Springer
ISBN: 3540394184
Category : Science
Languages : en
Pages : 222

Book Description


Twistor Geometry and Field Theory

Twistor Geometry and Field Theory PDF Author: R. S. Ward
Publisher: Cambridge University Press
ISBN: 9780521422680
Category : Mathematics
Languages : en
Pages : 534

Book Description
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.

Twistor Geometry and Non-Linear Systems

Twistor Geometry and Non-Linear Systems PDF Author: H. D. Doebner
Publisher:
ISBN: 9783662204863
Category :
Languages : en
Pages : 228

Book Description


New Spaces in Physics: Volume 2

New Spaces in Physics: Volume 2 PDF Author: Mathieu Anel
Publisher: Cambridge University Press
ISBN: 1108848206
Category : Mathematics
Languages : en
Pages : 438

Book Description
After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. This volume covers a broad range of topics in mathematical physics, including noncommutative geometry, supergeometry, derived symplectic geometry, higher geometric quantization, intuitionistic quantum logic, problems with the continuum description of spacetime, twistor theory, loop quantum gravity, and geometry in string theory. It is addressed primarily to mathematical physicists and mathematicians, but also to historians and philosophers of these disciplines.

Twistors in Mathematics and Physics

Twistors in Mathematics and Physics PDF Author: T. N. Bailey
Publisher: Cambridge University Press
ISBN: 0521397839
Category : Mathematics
Languages : en
Pages : 395

Book Description
This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.

Current Developments In Differential Geometry And Its Related Fields - Proceedings Of The 4th International Colloquium On Differential Geometry And Its Related Fields

Current Developments In Differential Geometry And Its Related Fields - Proceedings Of The 4th International Colloquium On Differential Geometry And Its Related Fields PDF Author: Toshiaki Adachi
Publisher: World Scientific
ISBN: 981471979X
Category : Mathematics
Languages : en
Pages : 256

Book Description
This volume contains contributions by the main participants of the 4th International Colloquium on Differential Geometry and its Related Fields (ICDG2014). These articles cover recent developments and are devoted mainly to the study of some geometric structures on manifolds and graphs. Readers will find a broad overview of differential geometry and its relationship to other fields in mathematics and physics.

Solitons, Instantons, and Twistors

Solitons, Instantons, and Twistors PDF Author: Maciej Dunajski
Publisher: Oxford University Press
ISBN: 0198872550
Category : Mathematics
Languages : en
Pages : 416

Book Description
Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well-behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations. The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.

Stochastic Aspects of Classical and Quantum Systems

Stochastic Aspects of Classical and Quantum Systems PDF Author: S. Albeverio
Publisher: Springer
ISBN: 354039138X
Category : Mathematics
Languages : en
Pages : 239

Book Description


Non-linear Partial Differential Operators and Quantization Procedures

Non-linear Partial Differential Operators and Quantization Procedures PDF Author: S.I. Andersson
Publisher: Springer
ISBN: 3540386955
Category : Mathematics
Languages : en
Pages : 344

Book Description


Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry

Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry PDF Author: Roger Penrose
Publisher: Cambridge University Press
ISBN: 9780521347860
Category : Mathematics
Languages : en
Pages : 516

Book Description
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.