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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

16 votes
2 answers
754 views

Can a sphere glued into a soft 3d-mattress rotate continuously? (manifolds, SU(2) and the be...

The question is triggered by the wonderful animations by Jason Hise: https://www.youtube.com/watch?v=LLw3BaliDUQ https://www.youtube.com/watch?v=6Ul_-ABYaYU https://www.youtube.com/watch?v=aYVt1U …