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

by R. Bryant, P. Griffiths, D. Grossman

**Publisher**: University Of Chicago Press 2008**ISBN/ASIN**: 0226077942**ISBN-13**: 9780226077949**Number of pages**: 219

**Description**:

The authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and PoincarĂ©-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study.

Download or read it online for free here:

**Download link**

(1.6MB, PDF)

## Similar books

**Functional Differential Geometry**

by

**Gerald Jay Sussman, Jack Wisdom**-

**MIT**

Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.

(

**6702**views)

**Synthetic Geometry of Manifolds**

by

**Anders Kock**-

**University of Aarhus**

This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geometry.

(

**5980**views)

**Noncompact Harmonic Manifolds**

by

**Gerhard Knieper, Norbert Peyerimhoff**-

**arXiv**

We provide a survey on recent results on noncompact simply connected harmonic manifolds, and we also prove many new results, both for general noncompact harmonic manifolds and for noncompact harmonic manifolds with purely exponential volume growth.

(

**3183**views)

**Lectures on Exterior Differential Systems**

by

**M. Kuranishi**-

**Tata Institute of Fundamental Research**

Contents: Parametrization of sets of integral submanifolds (Regular linear maps, Germs of submanifolds of a manifold); Exterior differential systems (Differential systems with independent variables); Prolongation of Exterior Differential Systems.

(

**6958**views)