**Manifolds: Current Research Areas**

by Paul Bracken (ed.)

**Publisher**: InTech 2017**ISBN-13**: 9789535128724**Number of pages**: 158

**Description**:

Differential geometry is a very active field of research and has many applications to areas such as physics and gravity, for example. The papers in this book cover a number of subjects which will be of interest to workers in these areas.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Lectures on Fibre Bundles and Differential Geometry**

by

**J.L. Koszul**-

**Tata Institute of Fundamental Research**

From the table of contents: Differential Calculus; Differentiable Bundles; Connections on Principal Bundles; Holonomy Groups; Vector Bundles and Derivation Laws; Holomorphic Connections (Complex vector bundles, Almost complex manifolds, etc.).

(

**4987**views)

**Triangles, Rotation, a Theorem and the Jackpot**

by

**Dave Auckly**-

**arXiv**

This paper introduced undergraduates to the Atiyah-Singer index theorem. It includes a statement of the theorem, an outline of the easy part of the heat equation proof. It includes counting lattice points and knot concordance as applications.

(

**4051**views)

**Geometric Wave Equations**

by

**Stefan Waldmann**-

**arXiv**

We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.

(

**4234**views)

**Exterior Differential Systems and Euler-Lagrange Partial Differential Equations**

by

**R. Bryant, P. Griffiths, D. Grossman**-

**University Of Chicago Press**

The authors present the results of their development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincare-Cartan forms. They also cover certain aspects of the theory of exterior differential systems.

(

**10245**views)