Lectures on Differential Geometry
by John Douglas Moore
Publisher: University of California 2009
Number of pages: 263
Description:
This course will describe the 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, de Rham cohomology and Morse homology.
Download or read it online for free here:
Download link
(1MB, PDF)
Similar books
Riemann Surfaces, Dynamics and Geometryby 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.
(12572 views)
Lectures on Geodesics in Riemannian Geometryby M. Berger - Tata Institute of Fundamental Research
The main topic of these notes is geodesics. Our aim is to give a fairly complete treatment of the foundations of Riemannian geometry and to give global results for Riemannian manifolds which are subject to geometric conditions of various types.
(7720 views)
An Introduction to Riemannian Geometryby Sigmundur Gudmundsson - 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.
(12352 views)
Riemannian Geometry: Definitions, Pictures, and Resultsby Adam Marsh - arXiv
A pedagogical but concise overview of Riemannian geometry is provided in the context of usage in physics. The emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions and relevant theorems.
(5028 views)