Poincaré–Hopf theorem

Summary

Poincaré–Hopf theorem is a theorem^[1]. It draws 1,611 Wikipedia views per month (theorem category, ranking #181 of 1,306).^[2]

Key Facts

• Poincaré–Hopf theorem's instance of is recorded as theorem^[3].
• Henri Poincaré is named after Poincaré–Hopf theorem^[4].
• Heinz Hopf is named after Poincaré–Hopf theorem^[5].
• Poincaré–Hopf theorem is part of list of theorems^[6].
• Poincaré–Hopf theorem's proved by is recorded as Heinz Hopf^[7].
• Poincaré–Hopf theorem's maintained by WikiProject is recorded as WikiProject Mathematics^[8].

Body

Definition and Type

Poincaré–Hopf theorem's instance of is recorded as theorem^[3].

Origins

Things named after include Henri Poincaré^[4], a mathematician^[9], 1854–1912^[10], of France^[11], awarded the Poncelet Prize^[12], specialised in algebraic geometry^[13] and Heinz Hopf^[5], a mathematician^[14], 1894–1971^[15], of Germany^[16], awarded the Lobachevsky Prize^[17], specialised in differential geometry^[18].

Use and Application

Poincaré–Hopf theorem is part of list of theorems^[6].

Why It Matters

Poincaré–Hopf theorem draws 1,611 Wikipedia views per month (theorem category, ranking #181 of 1,306).^[2] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.^[19] It is known by 29 alternative names across languages and contexts.^[20]