Logo

Topics in Differential Geometry

Large book cover: Topics in Differential Geometry

Topics in Differential Geometry
by

Publisher: American Mathematical Society
ISBN/ASIN: 0821820036
ISBN-13: 9780821820032
Number of pages: 429

Description:
This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry. The layout of the material stresses naturality and functoriality from the beginning and is as coordinate-free as possible.

Home page url

Download or read it online for free here:
Download link
(3.1MB, PDF)

Similar books

Book cover: Differential Geometry in PhysicsDifferential Geometry in Physics
by - University of North Carolina at Wilmington
These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.
(19590 views)
Book cover: Tensor AnalysisTensor Analysis
by - Princeton Univ Pr
The lecture notes for the first part of a one-term course on differential geometry given at Princeton in the spring of 1967. They are an expository account of the formal algebraic aspects of tensor analysis using both modern and classical notations.
(21095 views)
Book cover: Differential Geometry Course NotesDifferential Geometry Course Notes
by - University of Oregon
These are differential geometry course notes. From the table of contents: Preface; Curves; Surfaces; Extrinsic Theory; The Covariant Derivative; The Theorema Egregium; The Gauss-Bonnet Theorem; Riemann's Counting Argument.
(12680 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.
(19864 views)