DMCA. Copyrighted Work that you can Claim.
Base have 250 515 books.
Search: 


📙 The Geometry of Walker Manifolds by Eduardo García-Río, Miguel Brozos-Vázquez, Rámon Vázquez-Lorenzo, Stana Nikcevic — free pdf


This book, which focuses on the study of curvature, is an introduction to various aspects of pseudo-Riemannian geometry. We shall use Walker manifolds (pseudo-Riemannian manifolds which admit a non-trivial parallel null plane field) to exemplify some of the main differences between the geometry of Riemannian manifolds and the geometry of pseudo-Riemannian manifolds and thereby illustrate phenomena in pseudo-Riemannian geometry that are quite different from those which occur in Riemannian geometry, i.e. for indefinite as opposed to positive definite metrics. Indefinite metrics are important in many diverse physical contexts: classical cosmological models (general relativity) and string theory to name but two. Walker manifolds appear naturally in numerous physical settings and provide examples of extremal mathematical situations as will be discussed presently. To describe the geometry of a pseudo-Riemannian manifold, one must first understand the curvature of the manifold. We shall analyze a wide variety of curvature properties and we shall derive both geometrical and topological results. Special attention will be paid to manifolds of dimension 3 as these are quite tractable. We then pass to the 4 dimensional setting as a gateway to higher dimensions. Since the book is aimed at a very general audience (and in particular to an advanced undergraduate or to a beginning graduate student), no more than a basic course in differential geometry is required in the way of background. To keep our treatment as self-contained as possible, we shall begin with two elementary chapters that provide an introduction to basic aspects of pseudo-Riemannian geometry before beginning on our study of Walker geometry. An extensive bibliography is provided for further reading. Table of Contents: Basic Algebraic Notions / Basic Geometrical Notions / Walker Structures / Three-Dimensional Lorentzian Walker Manifolds / Four-Dimensional Walker Manifolds / The Spectral Geometry of the Curvature Tensor / Hermitian Geometry / Special Walker Manifolds

About file:

  • File size: 1 545 604
  • Format: pdf


Security code:
Download button

Similar books results


Lectures On The Geometry Of Manifolds, 2nd Edition
Lectures On The Geometry Of Manifolds, 2nd Edition free epub by Liviu I. Nicolaescu

The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a good ...

Introduction to Geometry of Manifolds with Symmetry
Introduction to Geometry of Manifolds with Symmetry download pdf by V. V. Trofimov (auth.)

One ofthe most important features of the development of physical and mathematical sciences in the beginning of the 20th century was the demolition of prevailing views of the three-dimensional Euclidean space as the only possible mathematical description o...

Topology and Geometry of Manifolds: 2001 Georgia International Topology Conference, May 21-June 2, 2001, University of Georgia, Athens, Georgia
Topology and Geometry of Manifolds: 2001 Georgia International Topology Conference, May 21-June 2, 2001, University of Georgia, Athens, Georgia free download by Gordana Matic, Clint McCrory (ed.)

Since 1961, the Georgia Topology Conference has been held every eight years to discuss the newest developments in topology. The goals of the conference are to disseminate new and important results and to encourage interaction among topologists who are in ...

Introduction to Smooth Manifolds
Introduction to Smooth Manifolds free pdf by John M. Lee

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vector...

Introduction to Smooth Manifolds
Introduction to Smooth Manifolds free download by John M. Lee

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vector...

The Many Facets of Geometry: A Tribute to Nigel Hitchin
The Many Facets of Geometry: A Tribute to Nigel Hitchin free epub by Oscar Garcia-Prada, Jean Pierre Bourguignon, Simon Salamon

Few people have proved more influential in the field of differential and algebraic geometry, and in showing how this links with mathematical physics, than Nigel Hitchin. Oxford University's Savilian Professor of Geometry has made fundamental contributions...

Synthetic Geometry of Manifolds
Synthetic Geometry of Manifolds download pdf by Anders Kock

This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry, namely 'prolongation spaces' or neighborhoods of the diagonal. These spaces enable a natural de...

Synthetic Geometry of Manifolds
Synthetic Geometry of Manifolds pdf free by Anders Kock

An elegant book that is sure to become the standard introduction to synthetic differential geometry....

Mathematical methods of classical mechanics
Mathematical methods of classical mechanics pdf free by V. I. Arnold, A. Weinstein, K. Vogtmann

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism....

Reziproke Effekte durch Sportberichterstattung: Eine empirische Untersuchung von Spitzensportlern

Principles of adaptive optics
Principles of adaptive optics pdf free by Robert Tyson

Since the publication of the second edition of Principles of Adaptive Optics, the developments and applications in this area have increased tremendously. Observatories are now producing outstanding science through adaptive optics technology; components, s...

Modelling and Dimensioning of Mobile Wireless   Networks: From GSM to LTE
Modelling and Dimensioning of Mobile Wireless Networks: From GSM to LTE download pdf by Maciej Stasiak, Mariusz Glabowski, Arkadiusz Wisniewski, Piotr Zwierzykowski

This book is a must-read for all network planners and other professionals wishing to improve the quality and cost efficiency of 3G and LTE networksIn this book, the authors address the architecture of the 2/3G network and the Long Term Evolution (LTE) net...

  L'Anneau-Monde
L'Anneau-Monde free pdf by Larry Niven

The Cambridge Companion to Greek and Roman Philosophy (Cambridge Companions to Philosophy)
The Cambridge Companion to Greek and Roman Philosophy (Cambridge Companions to Philosophy) free pdf by David Sedley

This wide-ranging introduction to the study of philosophy in the ancient world surveys the period's developments and evaluates a comprehensive series of major thinkers, ranging from Pythagoras to Epicurus. Tables, illustrations, and extensive advice on fu...

Warrant: The Current Debate
Warrant: The Current Debate download pdf by Alvin Plantinga

Known for distinguished work in the fields of metaphysics and philosophy of religion, Alvin Plantinga ventures further into epistemology in this book and its companion volume, Warrant and Proper Function. Plantinga examines the nature of epistemic warrant...

The Berenstain Bears and Too Much Vacation (First Time Books(R))
The Berenstain Bears and Too Much Vacation (First Time Books(R)) pdf free by Stan Berenstain, Jan Berenstain

The family getaway is a disaster: the cabin's roof leaks, the lake is muddy, and the mosquitoes are ravenous. But when the bears return home and develop their snapshots, they laugh and laugh, fully enjoying the worst vacation they've ever had!  ...

  Le Poulpe : Parkinson le Glas

Qur'an and Woman: Rereading the Sacred Text from a Woman's Perspective
Qur'an and Woman: Rereading the Sacred Text from a Woman's Perspective free download by Amina Wadud

Fourteen centuries of Islamic thought have produced a legacy of interpretive readings of the Qu'ran written almost entirely by men. Now, with Qu'ran and Woman, Amina Wadud provides a first interpretive reading by a woman, a reading which validates the fem...

Boehme: An Intellectual Biography of the Seventeenth-Century Philosopher and Mystic