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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2010 • Question 8

Question

Math 6510 • Differentiable Manifolds Fall 2010 • Question 8

Let \(X\) be a smooth vector field on \(S^2\). Prove that \(X(p)=0\) for some \(p\in S^2\).

Raw LaTeX

Let \(X\) be a smooth vector field on \(S^2\). Prove that \(X(p)=0\) for some
\(p\in S^2\).

Topic Tags

Left-Invariant Vector Fields Vector Fields and Flows