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: Lectures on Differential GeometryLectures on Differential Geometry
by - University of Ottawa
This is a collection of lecture notes which the author put together while teaching courses on manifolds, tensor analysis, and differential geometry. He offers them to you in the hope that they may help you, and to complement the lectures.
(10812 views)
Book cover: Differential GeometryDifferential Geometry
by - Eötvös Loránd University
Contents: Basic Structures on Rn, Length of Curves; Curvatures of a Curve; Plane Curves; 3D Curves; Hypersurfaces; Surfaces in 3-dimensional space; Fundamental equations of hypersurface theory; Topological and Differentiable Manifolds; etc.
(11582 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.
(11067 views)
Book cover: Elementary Differential GeometryElementary Differential Geometry
by - UAB
These notes are for a beginning graduate level course in differential geometry. It is assumed that this is the students' first course in the subject. Thus the choice of subjects and presentation has been made to facilitate a concrete picture.
(12665 views)