Rotations in three, four, and five dimensions

Details Rotations in three, four, and five dimensions Rotations in three, four, and five dimensions

2011-03-08

arxiv.org/abs/1103.5263v1

Mathematics

Metric Geometry

Scientific paper

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.

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