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Notes On A Class Of Homogeneous Space Times
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Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Symmetries of Spacetimes and Riemannian Manifolds by : Krishan L. Duggal
Download or read book Symmetries of Spacetimes and Riemannian Manifolds written by Krishan L. Duggal and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an upto date information on metric, connection and curva ture symmetries used in geometry and physics. More specifically, we present the characterizations and classifications of Riemannian and Lorentzian manifolds (in particular, the spacetimes of general relativity) admitting metric (i.e., Killing, ho mothetic and conformal), connection (i.e., affine conformal and projective) and curvature symmetries. Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of a comprehensive collection of the works of a very large number of researchers on all the above mentioned symmetries. (b) We have aimed at bringing together the researchers interested in differential geometry and the mathematical physics of general relativity by giving an invariant as well as the index form of the main formulas and results. (c) Attempt has been made to support several main mathematical results by citing physical example(s) as applied to general relativity. (d) Overall the presentation is self contained, fairly accessible and in some special cases supported by an extensive list of cited references. (e) The material covered should stimulate future research on symmetries. Chapters 1 and 2 contain most of the prerequisites for reading the rest of the book. We present the language of semi-Euclidean spaces, manifolds, their tensor calculus; geometry of null curves, non-degenerate and degenerate (light like) hypersurfaces. All this is described in invariant as well as the index form.
Book Synopsis Conformal Methods in General Relativity by : Juan A. Valiente Kroon
Download or read book Conformal Methods in General Relativity written by Juan A. Valiente Kroon and published by Cambridge University Press. This book was released on 2023-01-31 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.
Book Synopsis Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes by : Thomas-Paul Hack
Download or read book Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes written by Thomas-Paul Hack and published by Springer. This book was released on 2015-08-17 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a largely self-contained and broadly accessible exposition on two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime: a fundamental analysis of the cosmological evolution according to the Standard Model of Cosmology; and a fundamental study of the perturbations in inflation. The two central sections of the book dealing with these applications are preceded by sections providing a pedagogical introduction to the subject. Introductory material on the construction of linear QFTs on general curved spacetimes with and without gauge symmetry in the algebraic approach, physically meaningful quantum states on general curved spacetimes, and the backreaction of quantum fields in curved spacetimes via the semiclassical Einstein equation is also given. The reader should have a basic understanding of General Relativity and QFT on Minkowski spacetime, but no background in QFT on curved spacetimes or the algebraic approach to QFT is required.>
Book Synopsis An Overview of General Relativity and Space-Time by : Nicola Vittorio
Download or read book An Overview of General Relativity and Space-Time written by Nicola Vittorio and published by CRC Press. This book was released on 2022-12-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook equips Masters’ students studying Physics and Astronomy with the necessary mathematical tools to understand the basics of General Relativity and its applications. It begins by reviewing classical mechanics with a more geometrically oriented language, continues with Special Relativity and, then onto a discussion on the pseudo-Riemannian space-times. Applications span from the inner and outer Schwarzschild solutions to gravitational wave, black holes, spherical relativistic hydrodynamics, and Cosmology. The goal is to limit the abstract formalization of the problems, to favor a hands-on approach with a number of exercises, without renouncing to a pedagogical derivation of the main mathematical tools and findings.
Book Synopsis Space – Time – Matter by : Jochen Brüning
Download or read book Space – Time – Matter written by Jochen Brüning and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-04-09 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space – Time – Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy – Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson–Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity
Book Synopsis African Americans in Mathematics by : Nathaniel Dean
Download or read book African Americans in Mathematics written by Nathaniel Dean and published by American Mathematical Soc.. This book was released on 1997-01-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contains research and expository papers by African-American mathematicians on issues related to their involvement in the mathematical sciences. Little is known, taught, or written about African-American mathematicians. Information is lacking on their past and present contributions and on the qualitive nature of their existence in and distribution throughout mathematics. This lack of information leads to a number of questions that have to date remainedunanswered. This volume provides details and pointers to help answer some of these questions.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1994-12 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Cauchy Problem in General Relativity by : Hans Ringström
Download or read book The Cauchy Problem in General Relativity written by Hans Ringström and published by European Mathematical Society. This book was released on 2009 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general theory of relativity is a theory of manifolds equipped with Lorentz metrics and fields which describe the matter content. Einstein's equations equate the Einstein tensor (a curvature quantity associated with the Lorentz metric) with the stress energy tensor (an object constructed using the matter fields). In addition, there are equations describing the evolution of the matter. Using symmetry as a guiding principle, one is naturally led to the Schwarzschild and Friedmann-Lemaitre-Robertson-Walker solutions, modelling an isolated system and the entire universe respectively. In a different approach, formulating Einstein's equations as an initial value problem allows a closer study of their solutions. This book first provides a definition of the concept of initial data and a proof of the correspondence between initial data and development. It turns out that some initial data allow non-isometric maximal developments, complicating the uniqueness issue. The second half of the book is concerned with this and related problems, such as strong cosmic censorship. The book presents complete proofs of several classical results that play a central role in mathematical relativity but are not easily accessible to those without prior background in the subject. Prerequisites are a good knowledge of basic measure and integration theory as well as the fundamentals of Lorentz geometry. The necessary background from the theory of partial differential equations and Lorentz geometry is included.
Book Synopsis Discrete-time Dynamic Models by : Ronald K. Pearson
Download or read book Discrete-time Dynamic Models written by Ronald K. Pearson and published by Oxford University Press, USA. This book was released on 1999 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fueled by advances in computer technology, model-based approaches to the control of industrial processes are now widespread. While there is an enormous literature on modeling, the difficult first step of selecting an appropriate model structure has received almost no attention. This book fills the gap, providing practical insight into model selection for chemical processes and emphasizing structures suitable for control system design.
Book Synopsis Literature 1984, Part 1 by : S. Böhme
Download or read book Literature 1984, Part 1 written by S. Böhme and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 947 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finnish Yearbook of International Law, Volume 19, 2008 by : Jan Klabbers
Download or read book Finnish Yearbook of International Law, Volume 19, 2008 written by Jan Klabbers and published by Bloomsbury Publishing. This book was released on 2010-11-11 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finnish Yearbook of International Law aspires to honour and strengthen the Finnish tradition in international legal scholarship. Open to contributions from all over the world and from all persuasions, the Finnish Yearbook stands out as a forum for theoretically informed, high-quality publications on all aspects of public international law, including the international relations law of the European Union. The Finnish Yearbook publishes in-depth articles and shorter notes, commentaries on current developments, book reviews and relevant overviews of Finland's state practice. While firmly grounded in traditional legal scholarship, it is open for new approaches to international law and for work of an interdisciplinary nature. The Finnish Yearbook is published for the Ius Gentium Association (the Finnish Society of International Law) by Hart Publishing. Earlier volumes may be obtained from Martinus Nijhoff, an imprint of Brill Publishers. Further information may be found at www.fybil.org INDIVIDUAL CHAPTERS Please click on the link below to purchase individual chapters from Volume 19 through Ingenta Connect: www.ingentaconnect.com SUBSCRIPTION TO SERIES To place an annual online subscription or a print standing order through Hart Publishing please click on the link below. Please note that any customers who have a standing order for the printed volumes will now be entitled to free online access. www.hartjournals.co.uk/fyil/subs
Book Synopsis Almost Complex Homogeneous Spaces and Their Submanifolds by : Kichoon Yang
Download or read book Almost Complex Homogeneous Spaces and Their Submanifolds written by Kichoon Yang and published by World Scientific. This book was released on 1987 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of almost complex homogeneous spaces and certain closely related class of spaces, so called partial G-flag manifolds. Submanifolds, in particular holomorphic curves, are also treated using the theory of moving frames and the structure theory of compact lie groups. The exposition is reasonably self-contained and this book is strongly recommended as a text for beginning graduate students.
Download or read book High Energy Physics Index written by and published by . This book was released on 1994 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Flows on Homogeneous Spaces by : Louis Auslander
Download or read book Flows on Homogeneous Spaces written by Louis Auslander and published by Princeton University Press. This book was released on 1963-05-21 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Flows on Homogeneous Spaces. (AM-53), Volume 53, will be forthcoming.
Book Synopsis General Relativity And Gravitation: Proceedings Of The 14th International Conference by : Mauro Francaviglia
Download or read book General Relativity And Gravitation: Proceedings Of The 14th International Conference written by Mauro Francaviglia and published by World Scientific. This book was released on 1997-04-01 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers topics ranging from the early universe, cosmology, inflation, quantum gravity, exact solutions and computer-aided computations to space and terrestrial gravity experiments, with special emphasis on recent research.
Book Synopsis Non-linear Partial Differential Operators and Quantization Procedures by : S.I. Andersson
Download or read book Non-linear Partial Differential Operators and Quantization Procedures written by S.I. Andersson and published by Springer. This book was released on 2006-11-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: