Poincaré–Hopf theorem

E156192 UNEXPLORED

The Poincaré–Hopf theorem is a fundamental result in differential topology that relates the sum of the indices of a vector field’s isolated zeros on a compact manifold to the manifold’s Euler characteristic.

Observed surface forms (1)

Surface form	As subject	As object
Hopf index theorem	0	1

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Atiyah–Singer index theorem → generalizes → Poincaré–Hopf theorem →

this entity surface form: "Hopf index theorem"

Henri Poincaré → notableWork → Poincaré–Hopf theorem →