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

2021-04-162012-05-0122766367http://hdl.handle.net/10784/29537We 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 twoScience Journal PublicationOn The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of a Genus Two Closed Hyperbolic Surfaceinfo:eu-repo/semantics/articleClosed hyperbolic surfaceLaplacianEigenvalueEigenfunctionCritical pointSpectral graph theory2021-04-16Carlos A. CadavidOsorno, María C.Ruiz OE10.7237/sjp/128