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In differential geometry, Yau's conjecture from 1982, is a mathematical conjecture which states that a closed Riemannian 3-manifold has an infinite number of smooth closed immersed minimal surfaces. It is named after Shing-Tung Yau. It was the first problem in the minimal submanifolds section in Yau's list of open problems. The conjecture has recently been claimed by Kei Irie, Fernando Codá Marques and André Neves in the generic case, and by Antoine Song in full generality.

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  • In differential geometry, Yau's conjecture from 1982, is a mathematical conjecture which states that a closed Riemannian 3-manifold has an infinite number of smooth closed immersed minimal surfaces. It is named after Shing-Tung Yau. It was the first problem in the minimal submanifolds section in Yau's list of open problems. The conjecture has recently been claimed by Kei Irie, Fernando Codá Marques and André Neves in the generic case, and by Antoine Song in full generality. (en)
  • Em geometria diferencial, a conjectura de Yau, de 1982, é uma conjectura matemática que afirma que uma variedade tri-dimensional riemanniana fechada tem um número infinito de superfícies mínimas suaves imersas fechadas. Seu nome é uma homenagem a Shing-Tung Yau, sendo o primeiro problema na seção Minimal submanifolds da lista de Yau de problemas em aberto. A conjectura foi recentemente reivindicada por Kei Irie, Fernando Codá Marques e André Neves no caso genérico, e por Antoine Song em total generalidade. (pt)
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  • In differential geometry, Yau's conjecture from 1982, is a mathematical conjecture which states that a closed Riemannian 3-manifold has an infinite number of smooth closed immersed minimal surfaces. It is named after Shing-Tung Yau. It was the first problem in the minimal submanifolds section in Yau's list of open problems. The conjecture has recently been claimed by Kei Irie, Fernando Codá Marques and André Neves in the generic case, and by Antoine Song in full generality. (en)
  • Em geometria diferencial, a conjectura de Yau, de 1982, é uma conjectura matemática que afirma que uma variedade tri-dimensional riemanniana fechada tem um número infinito de superfícies mínimas suaves imersas fechadas. Seu nome é uma homenagem a Shing-Tung Yau, sendo o primeiro problema na seção Minimal submanifolds da lista de Yau de problemas em aberto. A conjectura foi recentemente reivindicada por Kei Irie, Fernando Codá Marques e André Neves no caso genérico, e por Antoine Song em total generalidade. (pt)
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  • Conjectura de Yau (pt)
  • Yau's conjecture (en)
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