Foliations of codimension one and Milnor's conjecture

• Date: 2018
• Main Author: Bolotov, D.V.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
• Series: Журнал математической физики, анализа, геометрии
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/145863
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Foliations of codimension one and Milnor's conjecture / D.V. Bolotov // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 2. — С. 119-131. — Бібліогр.: 15 назв. — англ.

We prove that a fundamental group of leaves of a codimension one C²- foliation with nonnegative Ricci curvature on a closed Riemannian manifold is finitely generated and almost Abelian, i.e., it contains finitely generated Abelian subgroup of finite index. In particular, we confirm the Milnor conjec...