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.

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

Similar books

Book cover: A Panoramic View of Riemannian GeometryA Panoramic View of Riemannian Geometry
by - Springer
In this monumental work, Marcel Berger manages to survey large parts of present day Riemannian geometry. The book offers a great opportunity to get a first impression of some part of Riemannian geometry, together with hints for further reading.
(13070 views)
Book cover: Semi-Riemann Geometry and General RelativitySemi-Riemann Geometry and General Relativity
by
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.
(19672 views)
Book cover: A Course in Riemannian GeometryA Course in Riemannian Geometry
by - Trinity College, Dublin
From the table of contents: Smooth Manifolds; Tangent Spaces; Affine Connections on Smooth Manifolds; Riemannian Manifolds; Geometry of Surfaces in R3; Geodesics in Riemannian Manifolds; Complete Riemannian Manifolds; Jacobi Fields.
(12427 views)
Book cover: Treatise on Differential Geometry and its role in Relativity TheoryTreatise on Differential Geometry and its role in Relativity Theory
by - arXiv.org
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 way of thinking.
(4051 views)