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Lorentz Invariant Spacelike Surfaces With Constant Mean Curvature In Anti De Sitter 3 Space
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Book Synopsis Lorentz Invariant Spacelike Surfaces with Constant Mean Curvature in Anti-de Sitter 3-space by : Jamie Patrick Lambert
Download or read book Lorentz Invariant Spacelike Surfaces with Constant Mean Curvature in Anti-de Sitter 3-space written by Jamie Patrick Lambert and published by . This book was released on 2015 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, I studied Lorentz invariant spacelike surfaces with constant mean curvature H = c in the anti-de Sitter 3-space [mathematical formula] of constant curvature [mathematical element]. In particular, I construct Lorentz invariant spacelike surfaces of constant mean curvature c and maximal Lorentz invariant spacelike surfaces in [mathematical formula]. I also studied the limit behavior of those constant mean curvature c surfaces in [mathematical formula]. It turns out that they approach a maximal catenoid in Minkowski 3-space [mathematical element]. The limit maximal catenoid is Lorentz invariant in [mathematical element]. --Page ii.
Book Synopsis Space-like Surfaces of Constant Mean Curvature in de Sitter 3-space S31 by : Sungwook Lee
Download or read book Space-like Surfaces of Constant Mean Curvature in de Sitter 3-space S31 written by Sungwook Lee and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Space-like Surfaces of Constant Mean Curvature in de Sitter 3-space S31 by : Sungwook Lee
Download or read book Space-like Surfaces of Constant Mean Curvature in de Sitter 3-space S31 written by Sungwook Lee and published by . This book was released on 2002 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complete Space-like Surfaces in the Minkowski 3-space with Constant Mean Curvature by : K. Yamada
Download or read book Complete Space-like Surfaces in the Minkowski 3-space with Constant Mean Curvature written by K. Yamada and published by . This book was released on 1987 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spacelike Surfaces of Constant Mean Curvature Having Continuous Internal Symmetry in Minkowski Three Space by : Shane B. Dowdall
Download or read book Spacelike Surfaces of Constant Mean Curvature Having Continuous Internal Symmetry in Minkowski Three Space written by Shane B. Dowdall and published by . This book was released on 1996 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis New Examples of Zero Mean Curvature Surfaces in the Three-dimensional Anti De-Sitter Space by : Steven Robert LeMay
Download or read book New Examples of Zero Mean Curvature Surfaces in the Three-dimensional Anti De-Sitter Space written by Steven Robert LeMay and published by . This book was released on 2012 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work deals with the construction of zero mean curvature surfaces in the three dimensional anti de-Sitter space. The method that was used was to look for examples that can be described using polynomial equations. More precisely, we are looking for "algebraic" examples of zero mean curvature surfaces. Success was found in finding new examples. Actually the author proved that if we used some polynomial equations previously discovered by Blaine Lawson to study a similar problem in the three dimensional sphere, these equations will also produce examples with zero mean curvature in the three dimensional anti de-Sitter space. This is considered the main result of the thesis. The family of examples that were found is so rich that it shows the existence of algebraic examples of any order; that is, examples produced with equations involving a polynomial of any desire degree. This thesis is written to be as self-contained as possible. In regard with the method used to prove the main result, two different approaches are explained to prove that a particular surface has zero mean curvature. One of them uses a parametrization of the surface and the other uses the polynomial that describes the surface. Even though both methods were thoroughly studied in the thesis, the former one was used to prove the main result.
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.
Book Synopsis Complete space-like surfaces in the Minkowski 3-space with constant mean curvature by : Kotaro Yamada
Download or read book Complete space-like surfaces in the Minkowski 3-space with constant mean curvature written by Kotaro Yamada and published by . This book was released on 1987 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis One-parameter Families of Surfaces with Constant Curvature in Lorentz 3-space by : Louise Vincentia McNertney
Download or read book One-parameter Families of Surfaces with Constant Curvature in Lorentz 3-space written by Louise Vincentia McNertney and published by . This book was released on 1980 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Lorentz Geometry by : Ivo Terek Couto
Download or read book Introduction to Lorentz Geometry written by Ivo Terek Couto and published by CRC Press. This book was released on 2021-01-05 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644
Book Synopsis Lightlike Surfaces of Spacelike Curves in de Sitter 3-space by :
Download or read book Lightlike Surfaces of Spacelike Curves in de Sitter 3-space written by and published by . This book was released on 2006 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Gravity in 2+1 Dimensions by : Steven Carlip
Download or read book Quantum Gravity in 2+1 Dimensions written by Steven Carlip and published by Cambridge University Press. This book was released on 2003-12-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive survey of (2+1)-dimensional quantum gravity - for graduate students and researchers.
Author :Piotr T. Chruściel Publisher :Springer Science & Business Media ISBN 13 :9783764371302 Total Pages :500 pages Book Rating :4.3/5 (713 download)
Book Synopsis The Einstein Equations and the Large Scale Behavior of Gravitational Fields by : Piotr T. Chruściel
Download or read book The Einstein Equations and the Large Scale Behavior of Gravitational Fields written by Piotr T. Chruściel and published by Springer Science & Business Media. This book was released on 2004 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying DVD-ROM contains the electronic proceedings of the summer school on mathematical general relativity and global properties of solutions of Einstein's equations held at Cargèse, Corsica, France, July 20-Aug. 10, 2002.
Book Synopsis The Large Scale Structure of Space-Time by : S. W. Hawking
Download or read book The Large Scale Structure of Space-Time written by S. W. Hawking and published by Cambridge University Press. This book was released on 1975-02-27 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.
Book Synopsis Gravity and Strings by : Tomás Ortín
Download or read book Gravity and Strings written by Tomás Ortín and published by Cambridge University Press. This book was released on 2004-03-25 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: One appealing feature of string theory is that it provides a theory of quantum gravity. Gravity and Strings is a self-contained, pedagogical exposition of this theory, its foundations and its basic results. In Part I, the foundations are traced back to the very early special-relativistic field theories of gravity, showing how such theories lead to general relativity. Gauge theories of gravity are then discussed and used to introduce supergravity theories. In Part II, some of the most interesting solutions of general relativity and its generalizations are studied. The final Part presents and studies string theory from the effective action point of view, using the results found earlier in the book as background. This 2004 book will be useful as a reference book for graduate students and researchers, as well as a complementary textbook for courses on gravity, supergravity and string theory.
Book Synopsis Advanced Lectures on General Relativity by : Geoffrey Compère
Download or read book Advanced Lectures on General Relativity written by Geoffrey Compère and published by Springer. This book was released on 2019-01-31 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.