Logo

Semi-Riemann Geometry and General Relativity

Semi-Riemann Geometry and General Relativity
by


Number of pages: 251

Description:
This book represents course notes for a one semester course at the undergraduate level giving an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus, preferably in the language of differential forms.

Download or read it online for free here:
Download link
(1MB, PDF)

Similar books

Book cover: Medians and Means in Riemannian Geometry: Existence, Uniqueness and ComputationMedians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
by - arXiv
This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. The existence and uniqueness results of local medians are given. We propose a subgradient algorithm and prove its convergence.
(10089 views)
Book cover: Lectures notes on compact Riemann surfacesLectures notes on compact Riemann surfaces
by - arXiv.org
An introduction to the geometry of compact Riemann surfaces. Contents: Riemann surfaces; Functions and forms on Riemann surfaces; Abel map, Jacobian and Theta function; Riemann-Roch; Moduli spaces; Eigenvector bundles and solutions of Lax equations.
(5415 views)
Book cover: A Sampler of Riemann-Finsler GeometryA Sampler of Riemann-Finsler Geometry
by - Cambridge University Press
Finsler geometry generalizes Riemannian geometry in the same sense that Banach spaces generalize Hilbert spaces. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry, and parametrized jet bundles.
(14209 views)
Book cover: An Introduction to Riemannian Geometry with Applications to Mechanics and RelativityAn Introduction to Riemannian Geometry with Applications to Mechanics and Relativity
by
Contents: Differentiable Manifolds; Differential Forms; Riemannian Manifolds; Curvature; Geometric Mechanics; Relativity (Galileo Spacetime, Special Relativity, The Cartan Connection, General Relativity, The Schwarzschild Solution).
(9173 views)