UID:
almahu_9950008653402882
Umfang:
1 online resource (xxiii, 400 pages) :
,
digital, PDF file(s).
ISBN:
9781139942300 (ebook)
Serie:
Mathematical Sciences Research Institute publications ; 66
Inhalt:
This book introduces and explores some of the deep connections between Einstein's theory of gravitation and differential geometry. As an outgrowth of graduate summer schools, the presentation is aimed at graduate students in mathematics and mathematical physics, starting from the foundations of special and general relativity, and moving to more advanced results in geometric analysis and the Einstein constraint equations. Topics include the formulation of the Einstein field equation and the Einstein constraint equations; gluing construction of initial data sets which are Schwarzschild near infinity; and an introduction to the Riemannian Penrose inequality. While the book assumes a background in differential geometry and real analysis, a number of basic results in geometry are provided. There are well over 100 exercises, many woven into the fabric of the chapters as well as others collected at the end of chapters, to give readers a chance to engage and extend the text.
Anmerkung:
Title from publisher's bibliographic system (viewed on 07 Apr 2025).
Weitere Ausg.:
Print version: ISBN 9781107079939
Sprache:
Englisch
URL:
https://doi.org/10.1017/9781139942300
URL:
Volltext
(URL des Erstveröffentlichers)
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