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.
Citation
Anandateertha Mangasuli. "On the Eigenvalues of the Laplacian for Certain Perturbations of the Standard Euclidean Metric on $S^2$." Asian J. Math. 13 (2) 282 - 271, June 2009.
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