Logo

Treatise on Differential Geometry and its role in Relativity Theory

Small book cover: Treatise on Differential Geometry and its role in Relativity Theory

Treatise on Differential Geometry and its role in Relativity Theory
by

Publisher: arXiv.org
Number of pages: 259

Description:
These notes will be helpful to undergraduate and postgraduate students in theoretical physics and in applied mathematics. Modern terminology in differential geometry has been discussed in the book with the motivation of geometrical or pictorial way of thinking. The book shows the wide applicability of differential geometry to relativity theory.

Home page url

Download or read it online for free here:
Download link
(1.1MB, 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.
(11972 views)
Book cover: An Introduction to Riemannian GeometryAn Introduction to Riemannian Geometry
by - Lund University
The main purpose of these lecture notes is to introduce the beautiful theory of Riemannian Geometry. Of special interest are the classical Lie groups allowing concrete calculations of many of the abstract notions on the menu.
(16330 views)
Book cover: Complex Analysis on Riemann SurfacesComplex Analysis on Riemann Surfaces
by - Harvard University
Contents: Maps between Riemann surfaces; Sheaves and analytic continuation; Algebraic functions; Holomorphic and harmonic forms; Cohomology of sheaves; Cohomology on a Riemann surface; Riemann-Roch; Serre duality; Maps to projective space; etc.
(16249 views)
Book cover: Holonomy Groups in Riemannian GeometryHolonomy Groups in Riemannian Geometry
by - arXiv
The holonomy group is one of the fundamental analytical objects that one can define on a Riemannian manfold. These notes provide a first introduction to the main general ideas on the study of the holonomy groups of a Riemannian manifold.
(10013 views)