| title: | SYMMETRIES OF DIFFERENTIAL EQUATIONS AND OPERATORS IN GEOMETRY AND DYNAMICS. |
|---|---|
| reg no: | ETF5281 |
| project type: | Estonian Science Foundation research grant |
| subject: |
1.1. Mathematics |
| status: | completed |
| institution: | University of Tartu |
| head of project: | Maido Rahula |
| duration: | 01.01.2002 - 31.12.2003 |
| description: | .. The goals of the project and the expectative results: To analyse symmetries in connection with the study of equations of mathematical physics, dynamical systems and singularities of maps (catastrophes), using the concept developed in Tartu - the universal exponential law. For this: 1. to bring the structures in the jet space into line with materials by Vinogradov, Lychagin, Olver, Ovsiannikov and Navi?kas, 2. to expand the possibilities of using Lie derivatives in the research of dynamical systems and then to study: 3. the action and the symmetries of Monge-Amp?re operators, 4. the transfer of dynamical systems by Veronese maps, 5. the operators connected with co-Riemannian geometry. . |
| project group | ||||
|---|---|---|---|---|
| no | name | institution | position | |
| 1. | Ülo Lumiste | Univ. of Tartu. | prof. emeritus | |
| 2. | Tanel Mullari | Technical Univ. of Tallinn | assistent | |
| 3. | Aivo Parring | Univ. of Tartu. | lecturer | |
| 4. | Maido Rahula | .University of Tartu, Faculty of Mathematics and Computer Sciences.. | Professor emeritus | |
| 5. | Kaarin Riives-Kaagjärv | Estonian Agri-cultural Univ. | dozent | |
| 6. | Dmitri Tseluiko | Univ. of Tartu | doctoral student | |