Logo

Lectures on Differential Geometry

Small book cover: Lectures on Differential Geometry

Lectures on Differential Geometry
by

Publisher: University of California
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.

Home page url

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

Similar books

Book cover: Lectures on Geodesics in Riemannian GeometryLectures on Geodesics in Riemannian Geometry
by - 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.
(4564 views)
Book cover: Riemann Surfaces, Dynamics and GeometryRiemann Surfaces, Dynamics and Geometry
by - 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.
(9168 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.
(3963 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.
(402 views)