# Poincaré–Hopf theorem

> theorem relating the Euler characteristic of a closed manifold to the number of zeros of a vector field on it

**Wikidata**: [Q1305766](https://www.wikidata.org/wiki/Q1305766)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Poincaré–Hopf_theorem)  
**Source**: https://4ort.xyz/entity/poincar-hopf-theorem


## References

1. Freebase Data Dumps. 2013
2. [Poincaré-Hopf theorem. Encyclopedia of Mathematics](http://www.encyclopediaofmath.org/index.php/Poincaré-Hopf_theorem)