Kohler K. Differential Geometry and Homogeneous Spaces 2024
Download this torrent!
Kohler K. Differential Geometry and Homogeneous Spaces 2024
To start this P2P download, you have to install a BitTorrent client like qBittorrent
Category: Other
Total size: 10.49 MB
Added: 2025-03-10 23:39:04
Share ratio:
11 seeders,
4 leechers
Info Hash: D29ABEDD3E405228E8B226DD5ADF97B1B39D95AB
Last updated: 11.5 hours ago
Description:
Textbook in PDF format
This textbook offers a rigorous introduction to the foundations of Riemannian Geometry, with a detailed treatment of homogeneous and symmetric spaces, as well as the foundations of the General Theory of Relativity. Starting with the basics of manifolds, it presents key objects of differential geometry, such as Lie groups, vector bundles, and de Rham cohomology, with full mathematical details. Next, the fundamental concepts of Riemannian geometry are introduced, paving the way for the study of homogeneous and symmetric spaces. As an early application, a version of the Poincaré–Hopf and Chern–Gauss–Bonnet Theorems is derived. The final chapter provides an axiomatic deduction of the fundamental equations of the General Theory of Relativity as another important application. Throughout, the theory is illustrated with color figures to promote intuitive understanding, and over 200 exercises are provided (many with solutions) to help master the material. The book is designed to cover a two-semester graduate course for students in mathematics or theoretical physics and can also be used for advanced undergraduate courses. It assumes a solid understanding of multivariable calculus and linear algebra