Christodoulou / Klainerman The Global Nonlinear Stability of the Minkowski Space

Course Book
ISBN: 978-1-4008-6317-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 41, 526 Seiten

Reihe: Princeton Mathematical Series

No detailed description available for "The Global Nonlinear Stability of the Minkowski Space".

Autoren/Hrsg.

Christodoulou, Demetrios

Klainerman, Sergiu

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie

Inhaltsverzeichnis

Acknowledgments

1 Introduction 1

I Preliminary Results in 2-and 3-Dimensional Riemannian Geometry

2 Generalized Hodge Systems in 2-D 31

3 General Results in 3-D Geometry 53

4 The Poisson Equation in 3-D 78

5 Curvature of an Initial Data Set 110

6 Deformation of 2-Surfaces in 3-D 121

II Bianchi Equations in Space-Time

7 The Comparison Theorem 135

8 The Error Estimates 205

III Construction of Global Space-Times. Proof of the Main Theorem

9 Construction of the Optical Function 261

10 Third Version of the Main Theorem 284

11 Second Fundamental Form 311

12 The Lapse Function 341

13 Derivatives of the Optical Function 351

14 The Last Slice 411

15 The Matching 443

16 The Rotation Vectorfields 466

17 Conclusions 491

Bibliography 513