Logo

Notes on Differential Geometry

Small book cover: Notes on Differential Geometry

Notes on Differential Geometry
by

Publisher: Victoria University of Wellington
Number of pages: 246

Description:
In this text the author presents an overview of differential geometry, also known as the theory of manifolds. Topics covered: Topological Manifolds and differentiable structure; Tangent and cotangent spaces; Fibre bundles; Geodesics and connexions; Riemann curvature; Exterior differential forms; Lie derivatives; etc.

Download or read it online for free here:
Download link
(1.6MB, PDF)

Similar books

Book cover: Differentiable ManifoldsDifferentiable Manifolds
by
The historical driving force of the theory of manifolds was General Relativity, where the manifold is four-dimensional spacetime, wormholes and all. This text is occupied with the theory of differential forms and the exterior derivative.
(12663 views)
Book cover: Differential Geometry: A First Course in Curves and SurfacesDifferential Geometry: A First Course in Curves and Surfaces
by - University of Georgia
Contents: Curves (Examples, Arclength Parametrization, Frenet Frame); Surfaces: Local Theory (Parametrized Surfaces, Gauss Map, Covariant Differentiation, Parallel Translation, Geodesics); Surfaces: Further Topics (Holonomy, Hyperbolic Geometry,...).
(2418 views)
Book cover: Differential Geometry: Lecture NotesDifferential Geometry: Lecture Notes
by - Trinity College Dublin
From the table of contents: Chapter 1. Introduction to Smooth Manifolds; Chapter 2. Basic results from Differential Topology; Chapter 3. Tangent spaces and tensor calculus; Tensors and differential forms; Chapter 4. Riemannian geometry.
(6872 views)
Book cover: A Course Of Differential GeometryA Course Of Differential Geometry
by - Clarendon Press
Contents: Tensor theory; The ground form when n=2; Geodesics in two-way space; Two-way space as a locus in Euclidean space; Deformation of a surface and congruences; Curves in Euclidean space and on a surface; The ruled surface; Minimal surface; etc.
(2049 views)