Asian Journal of Mathematics

On the Eigenvalues of the Laplacian for Certain Perturbations of the Standard Euclidean Metric on $S^2$

Anandateertha Mangasuli

Abstract

We introduce certain conformal, rotationally symmetric, real analytic perturbations of the standard Euclidean metric on $S^2$ and study the perturbed eigenvalues of the Laplace operators for the metrics sufficiently close to the Euclidean metric.

Article information

Source
Asian J. Math., Volume 13, Number 2 (2009), 282-271.

Dates
First available in Project Euclid: 27 October 2009

Mangasuli, Anandateertha. On the Eigenvalues of the Laplacian for Certain Perturbations of the Standard Euclidean Metric on $S^2$. Asian J. Math. 13 (2009), no. 2, 282--271. https://projecteuclid.org/euclid.ajm/1256650872