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  • 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.
  • 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. (en)
Title
  • The local equivalence problem in CR geometry
  • The local equivalence problem in CR geometry (en)
skos:prefLabel
  • The local equivalence problem in CR geometry
  • The local equivalence problem in CR geometry (en)
skos:notation
  • RIV/00216224:14310/07:00020873!RIV10-GA0-14310___
http://linked.open...avai/riv/aktivita
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  • P(GA201/05/2117)
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  • Suppl.
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  • 431273
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  • RIV/00216224:14310/07:00020873
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  • Local equivalence problem; Poincaré problem; Chern-Moser normal form (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
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  • [3007058AD769]
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  • Archivum Mathematicum
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 42
http://linked.open...iv/tvurceVysledku
  • Kolář, Martin
issn
  • 0044-8753
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  • 14310
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