2006/11/13 by César Camacho, C. Camacho, Camacho, C. +3
Mathematics · #57R30 #58E05 #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57R30 #msc:58E05
paper · pdf · doi:10.48550/arxiv.math/0611395
06 pages
arxiv created 2006/11/13 · openalex publication_date 2006/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study codimension one smooth foliations with Morse type singularities on closed ma-nifolds. We obtain a description of the manifold in case the number of centers in greater then the number of saddles. This result relies on and extends previous results of Reeb (for foliations having only centers) and Ells-Kuiper (for manifolds admitting Morse functions with three singularities).