On Two Remarkable Groups of Area-Preserving Homeomorphisms
DOI:
https://doi.org/10.15407/mag19.02.339Ключові слова:
гамiльтоновi гомеоморфiзми, гiпотеза Фатi, метрика Гофера, спектральнi iнварiантиАнотація
Ми доводимо, що на симплектичнiй сферi група гамiльтонових гомеоморфiзмiв в сенсi Ога i Мюллера є власною нормальною пiдгрупою гамiльтонових гомеоморфiзмiв зi скiнченною енергiєю. Бiльш того, ми знаходимо скiнченновимiрнi пласкi модулi, надiленi природною псевдометрикою Гофера, у факторгрупi цих груп.
Mathematical Subject Classification 2020: 53D05
Посилання
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