**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

**Synthetic Differential Geometry**

by

**Anders Kock**-

**Cambridge University Press**

Synthetic differential geometry is a method of reasoning in differential geometry and calculus. This book is the second edition of Anders Kock's classical text, many notes have been included commenting on new developments.

(

**11726**views)

**Notes on the Atiyah-Singer Index Theorem**

by

**Liviu I. Nicolaescu**-

**University of Notre Dame**

This is arguably one of the deepest and most beautiful results in modern geometry, and it is surely a must know for any geometer / topologist. It has to do with elliptic partial differential operators on a compact manifold.

(

**8927**views)

**Global Theory Of Minimal Surfaces**

by

**David Hoffman**-

**American Mathematical Society**

The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, Lagrangian geometry, and more.

(

**9546**views)

**The Theory of Lie Derivatives and Its Applications**

by

**Kentaro Yano**-

**North Holland Publishing Co.**

The topics include: Spaces with a non-vanishing curvature tensor that admit a group of automorphisms of the maximum order; Groups of transformations in generalized spaces; Global properties of the groups of motions in a compact Riemannian space...

(

**1640**views)