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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2022 • Question 4

Question

Math 6510 • Differentiable Manifolds Spring 2022 • Question 4

Find an explicit closed 1-form \(\omega \) on \(\mathbb {R}^2\setminus \{0\}\) which is not exact, and prove both statements.

Raw LaTeX

Find an explicit closed 1-form \(\omega\) on \(\mathbb{R}^2\setminus\{0\}\) which is not exact, and
prove both statements.

Topic Tags

Differential Forms and Exterior Calculus