Foliations of Codimension One and the Milnor Conjecture
DOI:
https://doi.org/10.15407/mag14.02.119Анотація
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.
Ключові слова:
шарування ковимiрностi один, фундаментальна група, голономiя, кривина РiччiПосилання
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