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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Summer 2020 • Question 6

Question

Math 6510 • Differentiable Manifolds Summer 2020 • Question 6

Let \(\alpha \) be a closed two form on \(S^4\). Prove that \(\alpha \wedge \alpha \) vanishes at some point.

Raw LaTeX

Let \(\alpha\) be a closed two form on \(S^4\). Prove that
\(\alpha\wedge\alpha\) vanishes at some point.

Topic Tags

Differential Forms and Exterior Calculus