Title: Some Remarks on the Hyperkähler Reduction,
Abstract: We consider a hyperkähler reduction and describe it via frame bundles.
Tracing the connection through the various reductions, we recover the results
of Gocho and Nakajima. In addition, we show that the fibers of such a reduction
are necessarily totally geodesic. As an independent result, we describe
O'Neill's submersion tensors on principal bundles.