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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

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 …
Totentanz's user avatar
  • 243
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 …
Totentanz's user avatar
  • 243