Rotations in three, four, and five dimensions

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.

Cited by in corpus (2)

• Umbral Calculus, a Different Mathematical Language
• Fast rotating flows in high spatial dimensions