Maximization of Laplace-Beltrami eigenvalues on closed Riemannian surfaces

Chiu-Yen Kao, Rongjie Lai, Braxton Osting

Let $(M,g)$ be a connected, closed, orientable Riemannian surface and denote by ${\lambda }_k(M,g)$ the $k$-th eigenvalue of the Laplace-Beltrami operator on $(M,g)$. In this paper, we cons…