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Results tagged with dg.differential-geometry
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user 98866
Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
5
votes
1
answer
577
views
Isomorphic algebras determine diffeomorphic manifolds
It is a kind of folklore but I would like to see the proof of the following fact: given two smooth manifolds $M$ and $N$ if we assume that the algebras $C^{\infty}_0(M)$ and $C^{\infty}_0(N)$ are isom …
- 33.3k
6
votes
1
answer
454
views
Abstract definition of differential operators
Let $E,F$ be complex vector bundles over some closed manifold $M$. We investigate operators $T:C^{\infty}(M,E) \to C^{\infty}(M,F)$ between smooth sections of these bundles. We say that such operator …
- 6,825