About: Poincaré–Hopf theorem

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

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  • mathematischer Satz (de)
  • teorema (ca)
  • théorème de géométrie différentielle (fr)
  • 微分トポロジーの定理 (ja)
  • izrek, ki povezuje Eulerjevo karakteristiko zaprte mnogoterosti s številom ničel vektorskega polja na njej (sl)
  • Teorema di topologia differenziale (it)
  • twierdzenie topologii różniczkowej (pl)
  • theorem relating the Euler characteristic of a closed manifold to the number of zeros of a vector field on it (en)
  • teoremo rilatanta la Eŭleran karakterizaĵon de kompakta sternaĵo al la sumo de la indicoj de la nulejoj de vektora kampo sur ĝi (eo)
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  • p/p110160 (en)
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  • Poincaré–Hopf theorem (en)
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  • Poincaré–Hopf theorem (en)
  • Teorema de Poincaré-Hopf (ca)
  • Satz von Poincaré-Hopf (de)
  • Théorème de Poincaré-Hopf (fr)
  • Teorema di Poincaré-Hopf (it)
  • ポアンカレ・ホップの定理 (ja)
  • 푸앵카레-호프 정리 (ko)
  • Twierdzenie Poincarégo-Hopfa (pl)
  • Теорема Пуанкаре о векторном поле (ru)
  • 庞加莱－霍普夫定理 (zh)
  • Теорема Пуанкаре про векторне поле (uk)
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