In mathematics we don't say "phase space" we say "cotangent bundle of the configuration space" and I think that's beautiful.

The same globe, but this time with large cardboard arrow representing vectors stuck on.

It can also be used to demonstrate parallel transport and the effect of curvature! Convenient, given that I use it to motivate the differential geometry used to formulate general relativity :-) 2/2

A very nice article about the history of Lie groups, Lie algebras and life of Sophus Lie.

Found it useful to understand the definitions of Lie Algebra and Lie group.

#DifferentialGeometry #LieGroups #Mathematics

math.mit.edu/~helgason/so...