Rotations in three, four, and five dimensions
Metric Geometry
2011-03-29 v1
Abstract
The geometry of rotations in dimensions 3, 4, and 5 is discussed using the matrix exponential map. Explicit closed formulas for the exponential of an antisymmetric matrix, as well as the logarithm of a rotation, are given for these dimensions.
Cite
@article{arxiv.1103.5263,
title = {Rotations in three, four, and five dimensions},
author = {Jason Hanson},
journal= {arXiv preprint arXiv:1103.5263},
year = {2011}
}