Lectures on mathematical relativity:
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...
Gespeichert in:
| Beteilige Person: | |
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| Weitere beteiligte Personen: | , , , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2025
|
| Schriftenreihe: | Mathematical Sciences Research Institute publications
66 |
| Links: | https://doi.org/10.1017/9781139942300 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xxiii, 400 Seiten) |
| ISBN: | 9781139942300 |
Internformat
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| 100 | 1 | |a Corvino, Justin | |
| 245 | 1 | 0 | |a Lectures on mathematical relativity |c Justin Corvino, Pengzi Miao ; with additional chapters by Lan-Hsuan Huang, Brian Allen, Fernando Schwartz |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2025 | |
| 300 | |a 1 Online-Ressource (xxiii, 400 Seiten) | ||
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| 490 | 1 | |a Mathematical Sciences Research Institute publications |v 66 | |
| 520 | |a 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. | ||
| 700 | 1 | |a Allen, Brian | |
| 700 | 1 | |a Huang, Lan-Hsuan | |
| 700 | 1 | |a Miao, Pengzi | |
| 700 | 1 | |a Schwartz, Fernando | |
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Datensatz im Suchindex
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| id | ZDB-20-CTM-CR9781139942300 |
| illustrated | Not Illustrated |
| indexdate | 2025-05-15T09:21:29Z |
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| isbn | 9781139942300 |
| language | English |
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| series2 | Mathematical Sciences Research Institute publications |
| spelling | Corvino, Justin Lectures on mathematical relativity Justin Corvino, Pengzi Miao ; with additional chapters by Lan-Hsuan Huang, Brian Allen, Fernando Schwartz Cambridge Cambridge University Press 2025 1 Online-Ressource (xxiii, 400 Seiten) txt c cr Mathematical Sciences Research Institute publications 66 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. Allen, Brian Huang, Lan-Hsuan Miao, Pengzi Schwartz, Fernando Erscheint auch als Druck-Ausgabe 9781107079939 Erscheint auch als Druck-Ausgabe 9781107439252 |
| spellingShingle | Corvino, Justin Lectures on mathematical relativity |
| title | Lectures on mathematical relativity |
| title_auth | Lectures on mathematical relativity |
| title_exact_search | Lectures on mathematical relativity |
| title_full | Lectures on mathematical relativity Justin Corvino, Pengzi Miao ; with additional chapters by Lan-Hsuan Huang, Brian Allen, Fernando Schwartz |
| title_fullStr | Lectures on mathematical relativity Justin Corvino, Pengzi Miao ; with additional chapters by Lan-Hsuan Huang, Brian Allen, Fernando Schwartz |
| title_full_unstemmed | Lectures on mathematical relativity Justin Corvino, Pengzi Miao ; with additional chapters by Lan-Hsuan Huang, Brian Allen, Fernando Schwartz |
| title_short | Lectures on mathematical relativity |
| title_sort | lectures on mathematical relativity |
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