**Lectures on Exterior Differential Systems**

by M. Kuranishi

**Publisher**: Tata Institute of Fundamental Research 1962**ISBN/ASIN**: B0007J92ZS**Number of pages**: 117

**Description**:

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.

Download or read it online for free here:

**Download link**

(650KB, PDF)

## Similar books

**Gauge Theory for Fiber Bundles**

by

**Peter W. Michor**-

**Universitaet Wien**

Gauge theory usually investigates the space of principal connections on a principal fiber bundle (P,p,M,G) and its orbit space under the action of the gauge group (called the moduli space), which is the group of all principal bundle automorphisms...

(

**7740**views)

**Comparison Geometry**

by

**Karsten Grove, Peter Petersen**-

**Cambridge University Press**

This volume is an up-to-date panorama of Comparison Geometry, featuring surveys and new research. Surveys present classical and recent results, and often include complete proofs, in some cases involving a new and unified approach.

(

**10324**views)

**Projective Differential Geometry Old and New**

by

**V. Ovsienko, S. Tabachnikov**-

**Cambridge University Press**

This book provides a route for graduate students and researchers to contemplate the frontiers of contemporary research in projective geometry. The authors include exercises and historical comments relating the basic ideas to a broader context.

(

**15678**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.

(

**7481**views)