Some theorems on holonomy groups of Riemannian manifolds
Some theorems on holonomy groups of Riemannian manifolds
For Riemannian manifolds there are four kinds of holonomy groups: the (nonrestricted) holonomy group H, the restricted holonomy group HO, the (nonrestricted) homogeneous holonomy group h, and the restricted homogeneous holonomy group h?. It is known that all of these are Lie groups of transformations and HO and hf are …