A generalized Poincaré-Hopf index theorem

Details A generalized Poincaré-Hopf index theorem A generalized Poincaré-Hopf index theorem

2009-03-04

arxiv.org/abs/0903.0697v2

Mathematics

Differential Geometry

8 pages; added in v2: references and survey of existing literature

Scientific paper

We state and prove a generalization of the Poincar\'e-Hopf index theorem for
manifolds with boundary. We then apply this result to non-vanishing complex
vector fields.

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