2 problems

Let $G$ be a Lie group, let $H\subset G$ be a subgroup, and let $y\in\mathfrak{h}^{\perp}$, where the orthogonal complement is taken with respect to the relevant pairing on the Lie…

Let $G$ be a Lie group and let $P\to B$ be a $G$-principal bundle equipped with a fat connection. Suppose that its structure group reduces to a proper subgroup $H\subset G$; no fat…