Concept information
Preferred term
Poincaré-Hopf theorem
Definition(s)
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In mathematics, the Poincaré–Hopf theorem (also known as the Poincaré–Hopf index formula, Poincaré–Hopf index theorem, or Hopf index theorem) is an important theorem that is used in differential topology. It is named after Henri Poincaré and Heinz Hopf. The Poincaré–Hopf theorem is often illustrated by the special case of the hairy ball theorem, which simply states that there is no smooth vector field on an even-dimensional n-sphere having no sources or sinks.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Poincar%C3%A9%E2%80%93Hopf_theorem)
Broader concept(s)
Synonym(s)
- Hopf index theorem
- Poincaré-Hopf index formula
- Poincaré-Hopf index theorem
In other languages
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French
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formule de Poincaré-Hopf
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théorème de l'indice de Hopf
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théorème de l'indice de Poincaré-Hopf
URI
http://data.loterre.fr/ark:/67375/PSR-VHF8WBJK-0
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