Global Lorentzian Geometry (Chapman & Hall/CRC Pure and Applied Mathematics) 2nd Edition by John K. Beem (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “Praise for the previous edition. . . The global theory of Lorentzian geometry has grown up, during the last twenty years, and. . .[the authors] have given us an authoritative and highly readable treatment of the subject as it stands today. “—Bulletin of the American Mathematical Society “. . .an ambitious and welcome compendium of research in the field. The authors have demonstrated command of the literature and presented it with care. They write well, effectively exploiting the comparisons and contrasts to produce a readable text. “—Mathematical Reviews . . .and for the Second. . . “By substantially updating the material of the first edition, the authors have guaranteed that their book will assume in the contemporary literature the position it held upon its first appearance. . . . . .anyone interested in pseudo-Riemannian geometry and/or general relativity will find this new edition both timely and valuable. “—Mathematical Reviews “The enormous interest for spacetime differential geometry, especially with respect to its applications in general relativity, has prompted the authors to add new material reflecting the best achievements in the field. . . .a most valuable reference for anyone interested in global Lorentzian geometry….the selfcontained character of this book and the excellent organization of the material make it a perfect source for a graduate course. “—Mathematical Abstracts About the Author Beem, John K.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐My review is based on a previous edition of this text. I have seen the new (2nd) edition and it appears that several chapters have been added but the old chapters are essentially the same.As of the time of this writing, I have only made it to the 2nd chapter (again, of the 1st edition). Nevertheless, I’ve read the introductory material in the introductory (1st) chapter several times, because it is so rich.This text is perhaps most useful to a student who knows a few things about differential, to be more precise, Riemannian geometry (and is interested in general relativity). There are many differences between a Riemannian manifold and a Lorentzian manifold, where the latter metric is not positive definite in that the metric gives one negative eigenvalue. This text is quick to point out the differences, which is a great aid in understanding the new material.I have some background in general relativity and from my experience in the subject there were many questions I had unanswered. This book is a blessing to me in that it has uncovered for me some of the mystery of Lorentzian manifolds, in particular space-times. There are still many things I do not understand but I am confident this text will aid me in getting a clearer picture.I highly recommend this text to student of relativity theory who has an understanding of mathematical reasoning, and yearns for a stronger mathematical understanding of the Lorentzian manifold. The current edition is a bit expensive but even if you do not think it is worth it there are still some 1st editions floating around (#67 in the Dekker Pure & Applied Math Series) which are much cheaper. I may eventually buy the 2nd edition if I find the additional chapters make the book worth the price.

Keywords

Free Download Global Lorentzian Geometry (Chapman & Hall/CRC Pure and Applied Mathematics) 2nd Edition in PDF format
Global Lorentzian Geometry (Chapman & Hall/CRC Pure and Applied Mathematics) 2nd Edition PDF Free Download
Download Global Lorentzian Geometry (Chapman & Hall/CRC Pure and Applied Mathematics) 2nd Edition 1996 PDF Free
Global Lorentzian Geometry (Chapman & Hall/CRC Pure and Applied Mathematics) 2nd Edition 1996 PDF Free Download
Download Global Lorentzian Geometry (Chapman & Hall/CRC Pure and Applied Mathematics) 2nd Edition PDF
Free Download Ebook Global Lorentzian Geometry (Chapman & Hall/CRC Pure and Applied Mathematics) 2nd Edition