Ebook: Geometric relativity
Author: Lee Dan A.
- Tags: General relativity (Physics) -- Mathematics, Geometry Riemannian, Differential equations Partial, Differential geometry -- Instructional exposition (textbooks tutorial papers etc ), Differential geometry -- Global differential geometry -- Global Riemannian geometry including pinching, Differential geometry -- Global differential geometry -- Methods of Riemannian geometry including PDE methods, curvature restrictions, Differential geometry -- Global differential geometry -- Rigidity results, Differ
- Series: Graduate studies in mathematics 201.
- Year: 2019
- Publisher: American Mathematical Society
- Language: English
- pdf
Many problems in general relativity are essentially geometric in nature, in the sense that they can be understood in terms of Riemannian geometry and partial differential equations. This book is centered around the study of mass in general relativity using the techniques of geometric analysis. Specifically, it provides a comprehensive treatment of the positive mass theorem and closely related results, such as the Read more...