We study the structure of the smooth manifold which is defined as the intersection of a stable manifold and an unstable manifold for an invariant Morse-Smale function.
"Intersection of Stable and Unstable Manifolds for Invariant Morse Function." Tokyo J. Math. 36 (2) 513 - 519, December 2013. https://doi.org/10.3836/tjm/1391177985