Treatise on Differential Geometry and its role in Relativity Theory
by Subenoy Chakraborty
Publisher: arXiv.org 2022
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.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
![Book cover: Lectures on Differential Geometry](images/5655.jpg)
by John Douglas Moore - University of California
Foundations of Riemannian geometry, including geodesics and curvature, as well as connections in vector bundles, and then go on to discuss the relationships between curvature and topology. Topology will presented in two dual contrasting forms.
(11450 views)
![Book cover: Lectures notes on compact Riemann surfaces](images/11962.jpg)
by Bertrand Eynard - 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: Semi-Riemann Geometry and General Relativity](images/blank.gif)
by Shlomo Sternberg
Course notes for 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.
(18516 views)
![Book cover: Riemann Surfaces, Dynamics and Geometry](images/3048.jpg)
by Curtis McMullen - Harvard University
This course will concern the interaction between: hyperbolic geometry in dimensions 2 and 3, the dynamics of iterated rational maps, and the theory of Riemann surfaces and their deformations. Intended for advanced graduate students.
(14527 views)