In differential geometry, Yau's conjecture is a mathematical conjecture which states that any closed Riemannian 3-manifold has infinitely many smooth closed immersed minimal surfaces.
It is named after Shing-Tung Yau, who posed it as the 88th entry in his 1982 list of open problems in differential geometry.
[1] The conjecture was resolved by Kei Irie, Fernando Codá Marques and André Neves in the generic case,[2] and by Antoine Song in full generality.
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