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In differential geometry, the Willmore conjecture is a lower bound on the Willmore energy of a torus. It is named after the English mathematician Tom Willmore, who conjectured it in 1965. A proof by Fernando Codá Marques and André Neves was announced in 2012 and published in 2014.

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  • Conjecture de Willmore (fr)
  • Гипотеза Уиллмора (ru)
  • Conjectura de Willmore (pt)
  • Willmore conjecture (en)
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  • En géométrie différentielle, la conjecture de Willmore fournit la valeur de la borne inférieure de l'énergie de Willmore d'un tore. Elle tire son nom du mathématicien anglais Tom Willmore, qui l'a proposée en 1965. Une démonstration a été annoncée en 2012 puis publiée en 2014 par Fernando Codá Marques et André Neves. (fr)
  • In differential geometry, the Willmore conjecture is a lower bound on the Willmore energy of a torus. It is named after the English mathematician Tom Willmore, who conjectured it in 1965. A proof by Fernando Codá Marques and André Neves was announced in 2012 and published in 2014. (en)
  • Гипотеза Уиллмора — это нижняя граница энергии Уиллмора тора. Гипотеза носит имя английского математика Томаса Уиллмора, который сформулировал её в 1965 году. Доказательство гипотезы анонсировано Маркишем и Невишом в 2012 году и опубликовано в 2014 году. (ru)
  • Na geometria diferencial, a conjectura de Willmore é uma conjectura sobre a (W) de um toro, nomeada assim em homenagem ao matemático inglês , que a propôs em 1965. A conjectura afirma que "para todo toro suave mergulhado M em E3, vale W(M) ≥ 2π2". Ela foi provada em 2012 por Fernando Codá Marques e André Neves. (pt)
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  • En géométrie différentielle, la conjecture de Willmore fournit la valeur de la borne inférieure de l'énergie de Willmore d'un tore. Elle tire son nom du mathématicien anglais Tom Willmore, qui l'a proposée en 1965. Une démonstration a été annoncée en 2012 puis publiée en 2014 par Fernando Codá Marques et André Neves. (fr)
  • In differential geometry, the Willmore conjecture is a lower bound on the Willmore energy of a torus. It is named after the English mathematician Tom Willmore, who conjectured it in 1965. A proof by Fernando Codá Marques and André Neves was announced in 2012 and published in 2014. (en)
  • Гипотеза Уиллмора — это нижняя граница энергии Уиллмора тора. Гипотеза носит имя английского математика Томаса Уиллмора, который сформулировал её в 1965 году. Доказательство гипотезы анонсировано Маркишем и Невишом в 2012 году и опубликовано в 2014 году. (ru)
  • Na geometria diferencial, a conjectura de Willmore é uma conjectura sobre a (W) de um toro, nomeada assim em homenagem ao matemático inglês , que a propôs em 1965. A conjectura afirma que "para todo toro suave mergulhado M em E3, vale W(M) ≥ 2π2". Ela foi provada em 2012 por Fernando Codá Marques e André Neves. (pt)
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