Yau's conjecture on the first eigenvalue
= Yau's conjecture on the first eigenvalue
{wiki=Yau's_conjecture_on_the_first_eigenvalue}
Yau's conjecture refers to a prediction made by the mathematician Shing-Tung Yau regarding the first eigenvalue of the Laplace operator on compact Riemannian manifolds. Specifically, the conjecture addresses the relationship between the geometry of a manifold and the spectrum of the Laplace operator defined on it.