Topology of codimension-one foliations of nonnegative curvature

DOI10.1070/SM2013v204n05ABEH004314zbMath1283.53030MaRDI QIDQ2848643

Dmitry V. Bolotov

Publication date: 26 September 2013

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldfoliationcurvatureholonomyresilient leaves

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Cites Work

• Nonnegatively curved manifolds with souls of codimension 2
• On the existence of exceptional minimal sets in foliations of codimension one
• A generalization of the Reeb stability theorem
• Compact leaves with Abelian holonomy
• Structure of codimension one foliations which are almost without holonomy
• Polynomial growth in holonomy groups of foliations
• A remark on subgroups of infinite index in Poincaré duality groups
• Splitting of nonnegatively curved leaves in minimal sets of foliations
• 4-manifold topology. I: Subexponential groups
• A note on curvature and fundamental group
• The splitting theorem for manifolds of nonnegative Ricci curvature
• On the structure of complete manifolds of nonnegative curvature
• Guppen mit Poincaré-Dualität
• A Splitting Theorem for 4-Dimensional Manifolds of Nonnegative Curvature
• Hyperfoliations of non-negative Ricci curvature
• The metric projection onto the soul
• Foliations of nonnegative curvature on closed 3-dimensional manifolds
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