= Global confinement to an immersed leaf
A smooth curve tangent to a regular <integrable distribution> lies in one maximal <leaf of a regular foliation>. In a <Frobenius theorem> chart its transverse coordinates have zero derivative, so each short segment lies in one plaque. A finite chain of such segments covers any compact parameter interval and joins plaques in the same leaf. A single embedded local plaque only gives confinement while the curve remains in its chart. A <dense immersed cylinder in a three-dimensional torus> shows why global embedded confinement cannot generally replace the immersed statement.
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