Techniques of Differential Topology in Relativity PDF Download
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Author: Roger Penrose Publisher: SIAM ISBN: 0898710057 Category : Technology & Engineering Languages : en Pages : 76
Book Description
Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.
Author: Roger Penrose Publisher: SIAM ISBN: 0898710057 Category : Technology & Engineering Languages : en Pages : 76
Book Description
Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.
Author: Roger Penrose Publisher: SIAM ISBN: 9781611970609 Category : Technology & Engineering Languages : en Pages : 80
Book Description
Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.
Author: Torsten Asselmeyer-Maluga Publisher: World Scientific ISBN: 9812706666 Category : Mathematics Languages : en Pages : 339
Book Description
The recent revolution in differential topology related to the discovery of non-standard (OC exoticOCO) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit OCo but now shown to be incorrect OCo assumption that differentiability is uniquely determined by topology for simple four-manifolds. Since diffeomorphisms are the mathematical models for physical coordinate transformations, EinsteinOCOs relativity principle requires that these models be physically inequivalent. This book provides an introductory survey of some of the relevant mathematics and presents preliminary results and suggestions for further applications to spacetime models."
Author: M. Karoubi Publisher: Cambridge University Press ISBN: 9780521317146 Category : Mathematics Languages : en Pages : 380
Book Description
In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.
Author: Roger Penrose
Author: Roger Penrose
Author: Roger Penrose
Author: Roger Penrose
Author: 
Author: Torsten Asselmeyer-Maluga
Author: M. Karoubi
Author: D Farnsworth
Author: Regional Conference on Relativity (1970 : University of Pittsburgh)
Author: 
Author: D. Farnsworth