On The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of a Genus Two Closed Hyperbolic Surface
Fecha
2012-05-01
Título de la revista
ISSN de la revista
Título del volumen
Editor
Science Journal Publication
Resumen
We 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 two
Descripción
Palabras clave
Closed hyperbolic surface, Laplacian, Eigenvalue, Eigenfunction, Critical point, Spectral graph theory