Global Lorentzian Geometry

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Global Lorentzian Geometry Second Edition

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Author : John K. Beem
language : en
Publisher: CRC Press
Release Date : 1996-03-08

Global Lorentzian Geometry Second Edition written by John K. Beem and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-03-08 with Science categories.

Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.

Global Lorentzian Geometry

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Author : John K. Beem
language : en
Publisher:
Release Date : 1996

Global Lorentzian Geometry written by John K. Beem and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

Global Lorentzian Geometry

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Author : John K. Beem
language : en
Publisher:
Release Date : 1981

Global Lorentzian Geometry written by John K. Beem and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.

Global Lorentzian Geometry

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Author : John K. Beem
language : en
Publisher: Routledge
Release Date : 2017-09-29

Global Lorentzian Geometry written by John K. Beem and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-29 with Mathematics categories.

Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.

Introduction To Lorentz Geometry

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Author : Ivo Terek Couto
language : en
Publisher: CRC Press
Release Date : 2021-01-05

Introduction To Lorentz Geometry written by Ivo Terek Couto and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-05 with Mathematics categories.

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

Particular Timelike Flows In Global Lorentzian Geometry

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Author :
language : en
Publisher:
Release Date : 2013

Particular Timelike Flows In Global Lorentzian Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

Recent Trends In Lorentzian Geometry

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Author : Miguel Sánchez
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-06

Recent Trends In Lorentzian Geometry written by Miguel Sánchez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-06 with Mathematics categories.

Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracted a renewed interest in this theory for many researchers: long-standing global open problems have been solved, outstanding Lorentzian spaces and groups have been classified, new applications to mathematical relativity and high energy physics have been found, and further connections with other geometries have been developed. Samples of these fresh trends are presented in this volume, based on contributions from the VI International Meeting on Lorentzian Geometry, held at the University of Granada, Spain, in September, 2011. Topics such as geodesics, maximal, trapped and constant mean curvature submanifolds, classifications of manifolds with relevant symmetries, relations between Lorentzian and Finslerian geometries, and applications to mathematical physics are included. ​ This book will be suitable for a broad audience of differential geometers, mathematical physicists and relativists, and researchers in the field.

Vector And Tensor Analysis Second Edition

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Author : Eutiquio C. Young
language : en
Publisher: CRC Press
Release Date : 1992-12-22

Vector And Tensor Analysis Second Edition written by Eutiquio C. Young and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-22 with Technology & Engineering categories.

Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems and the invariance of the gradient, divergence and the curl into the discussion of tensors; combines the test for independence of path and the path independence sections; offers new examples and figures that demonstrate computational methods, as well as carify concepts; introduces subtitles in each section to highlight the appearance of new topics; provides definitions and theorems in boldface type for easy identification. It also contains numerical exercises of varying levels of difficulty and many problems solved.

Geometry Of Cauchy Riemann Submanifolds

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Author : Sorin Dragomir
language : en
Publisher: Springer
Release Date : 2016-05-31

Geometry Of Cauchy Riemann Submanifolds written by Sorin Dragomir and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-31 with Mathematics categories.

This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. CR structures are a bundle theoretic recast of the tangential Cauchy–Riemann equations in complex analysis involving several complex variables. The book covers a wide range of topics such as Sasakian geometry, Kaehler and locally conformal Kaehler geometry, the tangential CR equations, Lorentzian geometry, holomorphic statistical manifolds, and paraquaternionic CR submanifolds. Intended as a tribute to Professor Aurel Bejancu, who discovered the notion of a CR submanifold of a Hermitian manifold in 1978, the book provides an up-to-date overview of several topics in the geometry of CR submanifolds. Presenting detailed information on the most recent advances in the area, it represents a useful resource for mathematicians and physicists alike.

The Einstein Equations And The Large Scale Behavior Of Gravitational Fields

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Author : Piotr T. Chrusciel
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

The Einstein Equations And The Large Scale Behavior Of Gravitational Fields written by Piotr T. Chrusciel and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out. Background material on techniques in PDE theory, differential geometry, and causal theory is provided.