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Show that $d\beta=0 \iff p=n/2$

Poincaré Lemma problems and computing contractions in an economical way

Moving frame in a semi-Riemannian manifold

Problem integrating in problem using the Poincaré Lemma

Does $\omega \wedge \mathrm{d} \omega=0$ (where $\omega$ is a non-vanishing $1$-form) imply $\mathrm{d} \omega \in \langle \omega\rangle$?

Representation of $n$ form and $n-1$ form in local coordinates

Proving $[L_X,i_Y]=[i_X,L_Y]=i_{[X,Y]}$

How to find lagrangian submanifolds.

Prove that ${x dy - y d x\over x^2 + y^2}$ is not exact

Second structural equations in lorentzian space $\Bbb L^3$.

When are the exterior derivative and contraction of forms inverses?

The element of Volume of the Sphere and two formulas

Reference to finite coverings causing injections on deRham cohomology

$df\wedge \alpha=0$ implies $\alpha=g\,df$ for some $g$

Showing that $\int_{c} \omega =0$ when $\partial c =0$

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