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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2006 • Question 7

Question

Math 6510 • Differentiable Manifolds Fall 2006 • Question 7

Give an explicit example of a closed 1-form on \(\mathbb {R}^2-\{0\}\) which is not exact, and prove both properties.

Raw LaTeX

Give an explicit example of a closed 1-form on \(\mathbb{R}^2-\{0\}\) which is not
exact, and prove both properties.

Topic Tags

Differential Forms and Exterior Calculus