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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2001 • Question 6

Question

Math 6510 • Differentiable Manifolds Fall 2001 • Question 6

Define the index of a singularity of a vector field and state the Poincaré-Hopf index theorem.

Raw LaTeX

Define the index of a singularity of a vector field and state the
Poincar\'e-Hopf index theorem.

Topic Tags

Left-Invariant Vector Fields Vector Fields and Flows