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

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2012-05-01

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Science Journal Publication

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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

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