Foliations of Codimension One and the Milnor Conjecture


  • Dmitry V. Bolotov B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv, 61103, Ukraine


Ключові слова:

шарування ковимiрностi один, фундаментальна група, голономiя, кривина Рiччi


Ми доводимо, що фундаментальна група шарiв C2-шарування ковимiрностi один невiд'ємної кривини Рiччi замкнутого рiманова многовиду є скiнченно породженою та майже абелевою, тобто мiстить скiнченно породжену абелеву пiдгрупу скiнченного iндексу. Зокрема, ми пiдтверджуємо гiпотезу Мiлнора щодо многовидiв, якi є шарами шарування ковимiрностi один невiд'ємної кривини Рiччi замкнутого рiманова многовиду.

Mathematical Subject Classification: 53A05.


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Як цитувати

Bolotov, D. V. Foliations of Codimension One and the Milnor Conjecture. Журн. мат. фіз. анал. геом. 2018, 14, 119-131.





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