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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2015 • Question 6

Question

Math 6510 • Differentiable Manifolds Fall 2015 • Question 6

Let \(\omega \) and \(\eta \) be closed forms on a manifold \(M\). Show that the de Rham cohomology class of \(\omega \wedge \eta \) only depends on the cohomology classes of \(\omega \) and \(\eta \).

Raw LaTeX

Let \(\omega\) and \(\eta\) be closed forms on a manifold \(M\). Show that the de
Rham cohomology class of \(\omega\wedge\eta\) only depends on the cohomology classes
of \(\omega\) and \(\eta\).

Topic Tags

Cohomology and Cup Products Differential Forms and Exterior Calculus Homology with Coefficients de Rham Cohomology