The local equivalence problem in CR geometry

Investor logo

Warning

This publication doesn't include Faculty of Education. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

KOLÁŘ Martin

Year of publication 2007
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

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:

You are running an old browser version. We recommend updating your browser to its latest version.