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The local equivalence problem in CR geometry

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F07%3A00020873" target="_blank" >RIV/00216224:14310/07:00020873 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    The local equivalence problem in CR geometry

  • Original language 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.

  • Czech name

    Problem lokalni ekvivalence v CR geometrii

  • Czech description

    Článek je věnován stoletému výročí problému lokální ekvivalence, formulovanému Henri Poincaré v roce 1907.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F05%2F2117" target="_blank" >GA201/05/2117: Algebraic methods in topology and geometry</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2007

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Archivum Mathematicum

  • ISSN

    0044-8753

  • e-ISSN

  • Volume of the periodical

    42

  • Issue of the periodical within the volume

    Suppl.

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    14

  • Pages from-to

    253-266

  • UT code for WoS article

  • EID of the result in the Scopus database