The local equivalence problem in CR geometry
| Authors | |
|---|---|
| Year of publication | 2007 |
| Type | Article in Periodical |
| Magazine / Source | Archivum Mathematicum |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Local equivalence problem; Poincaré problem; Chern-Moser normal form |
| Description | The article is dedicated to the centenary of the local equivalence problem, formulated by Henri Poincaré in 1907. The first part gives an account of Poincaré's heuristic arguments, suggesting existence of infinitely many local CR invariants. Then we sketch the beautiful completion of Poincaré's approach to the problem in the work of Chern and Moser on Levi nondegenerate hypersurfaces. The last part is an overview of recent progress in solving the problem on Levi degenerate manifolds. |
| Related projects: |