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 alsoFoliation, Foliation Leaf, Manifold, Map Orbit, Vector Field
This entry contributed by Christopher Stover
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ReferencesImanishi, 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