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 Field
*This 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