Showing papers by "Alicia Cordero published in 2004"
TL;DR: The simplest NMS flow is a polar flow formed by an attractive periodic orbit and a repulsive periodic orbit as the limit sets as discussed by the authors, and the only orientable, simple, compact, 3-dimensional manifolds without boundary that can admit an nMS flow with none or one saddle periodic orbit are initialized spaces.
Abstract: The simplest NMS flow is a polar flow formed by an
attractive periodic orbit and a repulsive periodic orbit as
limit sets. In this paper we show that the only orientable,
simple, compact, 3-dimensional manifolds without boundary that
admit an NMS flow with none or one saddle periodic orbit are
lens spaces. We also see that when a fattened round handle is a
connected sum of tori, the corresponding flow is also a trivial
connected sum of flows.
10 citations