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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2013 • Question 2

Question

Math 6510 • Differentiable Manifolds Fall 2013 • Question 2

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

Raw LaTeX

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

Topic Tags

de Rham Cohomology