On The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of a Genus Two Closed Hyperbolic Surface

2021-04-122012-05-0122766367http://hdl.handle.net/10784/27696We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold. The method is applied to a closed hyperbolic surface of genus twoengScience Journal PublicationClosed hyperbolic surfaceLaplacianEigenvalueEigenfunctionCritical pointSpectral graph theoryOn The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of a Genus Two Closed Hyperbolic Surfacearticle2021-04-12Carlos A. CadavidOsorno, María C.Ruiz OE10.7237/sjp/128