Logo

Differential Geometry by Balazs Csikos

Small book cover: Differential Geometry

Differential Geometry
by

Publisher: Eötvös Loránd University
Number of pages: 123

Description:
Contents: Basic Structures on Rn, Length of Curves; Curvatures of a Curve; Plane Curves; 3D Curves; Hypersurfaces; Surfaces in the 3-dimensional space; The fundamental equations of hypersurface theory; Topological and Differentiable Manifolds; The Tangent Bundle; The Lie Algebra of Vector Fields; Differentiation of Vector Fields; Curvature; Geodesics.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

Book cover: Differential Geometry Of Three DimensionsDifferential Geometry Of Three Dimensions
by - Cambridge University Press
The book is devoted to differential invariants for a surface and their applications. By the use of vector methods the presentation is both simplified and condensed, and students are encouraged to reason geometrically rather than analytically.
(2574 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.
(1776 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.
(6583 views)
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.
(12289 views)