On foliations with Morse singularities

Camacho, Cesar

Keywords: Morse singularity | holonomy

We study codimension one smooth foliations with Morse type singularities on closed manifolds. We obtain a description of the manifold if there are more centers than saddles. This result relies on and extends previous result of Reeb for foliations having only centers, results of Wagneuer for foliations with Morse singularities and results of Ells and Kupier for manifolds admitting Morse functions with three singularities.

Anexos:

• CamachoScarduaPAMS.pdf