English

A generalized Poincar\'e-Hopf index theorem

Differential Geometry 2009-09-21 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0903.0697,
  title  = {A generalized Poincar\'e-Hopf index theorem},
  author = {Benoît Jubin},
  journal= {arXiv preprint arXiv:0903.0697},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T12:18:09.189Z