A vector field 
on a compact foliated manifold 
is nice if 
is transverse
to 
and if 
has a closed orbit 
(called a nice orbit) such that the intersection 
is a singleton
set for any leaf 
contained in the interior 
.
Nice Vector Field
See also
Foliation, Foliation Leaf, Manifold, Map Orbit, Vector FieldThis entry contributed by Christopher Stover
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References
Imanishi, H. and Yagi, K. "On Reeb Components." J. Math. Kyoto Univ. 16, 313-324, 1976.Cite this as:
Stover, Christopher. "Nice Vector Field." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/NiceVectorField.html