**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

**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.

(

**3450**views)

**Combinatorial Geometry with Application to Field Theory**

by

**Linfan Mao**-

**InfoQuest**

Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.

(

**9951**views)

**Algebraic geometry and projective differential geometry**

by

**Joseph M. Landsberg**-

**arXiv**

Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.

(

**10740**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.

(

**4902**views)