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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Spring 2010 • Question 7

Question

Math 6510 • Differentiable Manifolds Spring 2010 • Question 7

Draw a nowhere vanishing vector field on \(S^1\). Explain why there is a nowhere vanishing vector field on \(S^3\).

Raw LaTeX

Draw a nowhere vanishing vector field on \(S^1\). Explain why there is a
nowhere vanishing vector field on \(S^3\).

Topic Tags

Left-Invariant Vector Fields Vector Fields and Flows