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Results tagged with dg.differential-geometry
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user 9672
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
43
votes
Why study Lie algebras?
Lie's motivation for studying Lie groups and Lie algebras was the solution of differential equations. Lie algebras arise as the infinitesimal symmetries of differential equations, and in analogy with …
- 5,654
1
vote
Parameterizing rotations of a cube
$SO(3)$ acts transitively on the space of all orthonormal oriented bases (these are ordered up to an even permutation). The stabilizer of the standard basis is exactly your subgroup $H$. So $X = SO(3) …
- 5,654