Geodesic
The local equivalence problem in CR geometry
Archivum mathematicum, Tome 42 (2006) no. 5, pp. 253-266 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This article is dedicated to the centenary of the local CR equivalence problem, formulated by Henri Poincaré in 1907. The first part gives an account of Poincaré’s heuristic counting 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.
This article is dedicated to the centenary of the local CR equivalence problem, formulated by Henri Poincaré in 1907. The first part gives an account of Poincaré’s heuristic counting 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.
Classification : 32V40 
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Kolář, Martin. The local equivalence problem in CR geometry. Archivum mathematicum, Tome 42 (2006) no. 5, pp. 253-266. http://geodesic.mathdoc.fr/item/ARM_2006_42_5_a12/

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