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Results tagged with dg.differential-geometry
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user 265376
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
3
votes
0
answers
274
views
The geometry of the group of automorphisms of a manifold
Given a manifold $M$, the group $Aut(M)$ is made of diffeomorphisms $M\to M$. Since the complete vector fields on $M$ form an infinite dimensional Lie algebra, and each generates a 1 dimensional Lie g …
- 111
5
votes
1
answer
1k
views
What are some interesting examples of quotients by Lie group actions?
I’ve been going through Lee’s Introduction to Differential Geometry. It’s a great book but I feel it lacks examples and concrete applications of the ideas presented. I want to work out a list of probl …