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Zhaoting Wei's user avatar
Zhaoting Wei's user avatar
Zhaoting Wei's user avatar
Zhaoting Wei
  • Member for 12 years, 5 months
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Does $\Lambda^2_{+}$ generate a differential ideal for a self-dual $4$-manifold?
It seems that the answer is yes by trivial reason: $\Lambda^2_+\cdot \Lambda^1$ is the whole $\Lambda^3$.
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Is $C^{\infty}(M)$ a projective Frechet $C^{\infty}(N)$-module for a smooth map $M\to N$ between compact smooth manifolds?
@IgorKhavkine It seems that the answer is trivially negative. Is it also a well-known result that if $M\to N$ is a submersion of compact smooth manifolds, then $C^{\infty}(M)$ is a projective $C^{\infty}(N)$ module?
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