Last updated May 12, 2000 |

- Jets of submanifolds
- Differential group
- Affine structures in jet bundles
- Lie transformations, Lie-Baecklund theorem
- Classification of integral manifolds
- Geometrical singularities of solutions of PDEs
- Characteristics of distribution and the theory of one first order equation
- Cartan distribution on equations
- Extrinsic and intrinsic geometry
- Symmetries, distributions, and integration of ordinary equations
- Characteristic classes of multi-valued solutions of systems of nonlinear PDEs
- Theory of solvability, formal integrability, involutiveness, Cartan-Kahler theorem, symbols, compatibility complexes