Nice Vector Field

A vector field X on a compact foliated manifold (M,F) is nice if X is transverse to F and if X has a closed orbit C (called a nice orbit) such that the intersection C intersection L is a singleton set for any leaf L contained in the interior M^◦.

See also

Foliation, Foliation Leaf, Manifold, Map Orbit, Vector Field

This entry contributed by Christopher Stover

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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.

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