The local equivalence problem in CR geometry

Martin Kolář

Archivum Mathematicum (2006)

  • Volume: 042, Issue: 5, page 253-266
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Kolář, Martin. "The local equivalence problem in CR geometry." Archivum Mathematicum 042.5 (2006): 253-266. <http://eudml.org/doc/249809>.

@article{Kolář2006,
abstract = {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.},
author = {Kolář, Martin},
journal = {Archivum Mathematicum},
keywords = {CR equivalence problem; Levi nondegenerate hyoersurfaces; Levi degenerate manifolds},
language = {eng},
number = {5},
pages = {253-266},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The local equivalence problem in CR geometry},
url = {http://eudml.org/doc/249809},
volume = {042},
year = {2006},
}

TY - JOUR
AU - Kolář, Martin
TI - The local equivalence problem in CR geometry
JO - Archivum Mathematicum
PY - 2006
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 042
IS - 5
SP - 253
EP - 266
AB - 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.
LA - eng
KW - CR equivalence problem; Levi nondegenerate hyoersurfaces; Levi degenerate manifolds
UR - http://eudml.org/doc/249809
ER -

References

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