An improved sectional-Anosov closing lemma

We prove that all nonwandering points of a sectional-Anosov flow on a compact 3-manifold can be approximated by periodic points or by points for which the omega-limit set is a singularity. This improves the closing lemma in Morales (Mich. Math. J. 56(1):29?C53, 2008). We also describe a sectional-Anosov flow for which the recurrent points are not dense in the nonwandering set.