On foliations with Morse singularities

Camacho, César; Scardua, Bruno

doi:10.1090/S0002-9939-08-09371-4

On foliations with Morse singularities
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by César Camacho and Bruno Scardua PDF

Proc. Amer. Math. Soc. 136 (2008), 4065-4073 Request permission

Abstract:

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 results of Reeb for foliations having only centers, results of Wagneur for foliations with Morse singularities and results of Eells and Kuiper for manifolds admitting Morse functions with three singularities.

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