Natural FLRW metrics on the Lie group of nonzero quaternions
Mathematical Physics
2008-11-26 v3 Astrophysics
General Relativity and Quantum Cosmology
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0606007,
title = {Natural FLRW metrics on the Lie group of nonzero quaternions},
author = {Vladimir Trifonov},
journal= {arXiv preprint arXiv:math-ph/0606007},
year = {2008}
}
Comments
A slightly more technical version of "Natural geometry of nonzero quaternions" IJTP 46 (2) (2007) 251-257