$T\sp{3}$-actions on simply connected $6$-manifolds. I
$T\sp{3}$-actions on simply connected $6$-manifolds. I
We are concerned with ${T^3}$-actions on simply connected 6-manifolds ${M^6}$. As in the codimension two case, there exists, under certain restrictions, a cross-section. Unlike the codimension two case, the orbit space need not be a disk and there can be finite stability groups. C. T. C. Wall has determined (Invent. …