**Topics in Differential Geometry**

by Peter W. Michor

**Publisher**: American Mathematical Society 2008**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.

Download or read it online for free here:

**Download link**

(3.1MB, PDF)

## Similar books

**Notes on Differential Geometry**

by

**Matt Visser**-

**Victoria University of Wellington**

In this text the author presents an overview of differential geometry. Topics covered: Topological Manifolds and differentiable structure; Tangent and cotangent spaces; Fibre bundles; Geodesics and connexions; Riemann curvature; etc.

(

**5516**views)

**Differential Geometry Of Three Dimensions**

by

**C.E. Weatherburn**-

**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.

(

**2395**views)

**Differential Geometry**

by

**Balazs Csikos**-

**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.

(

**7376**views)

**Differential Geometry in Physics**

by

**Gabriel Lugo**-

**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.

(

**12182**views)