A generalized Poincaré-Hopf index theorem

Abstract

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

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

References in corpus (1)

• Non-vanishing complex vector fields and the Euler characteristic

Cited by in corpus (1)

• An index formula for simple graphs