Natural FLRW metrics on the Lie group of nonzero quaternions
arXiv:math-ph/0606007 · doi:10.1007/s10773-006-9234-9
Abstract
It is shown that the Lie group of invertible elements of the quaternion algebra carries a family of natural closed Friedmann-Lemaitre-Robertson-Walker metrics.
A slightly more technical version of "Natural geometry of nonzero quaternions" IJTP 46 (2) (2007) 251-257