An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity
β Scribed by Leonor Godinho, JosΓ© NatΓ‘rio
- Publisher
- Springer
- Year
- 2014
- Tongue
- English
- Leaves
- 467
- Series
- Universitext
- Edition
- 2014
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.
The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects.
The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
π SIMILAR VOLUMES
<p><p>Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.</p><p>The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The secon
obtained thanks to https://t.me/HermitianSociety
This book is an exposition of <i>semi-Riemannian geometry</i> (also called <i>pseudo-Riemannian geometry</i>)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz
<p>This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry.
This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry) - the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. Fo