On the Eigenvalues of the Laplacian for Certain Perturbations of the Standard Euclidean Metric on $S^2$
Anandateertha Mangasuli
Source: Asian J. Math. Volume 13, Number 2 (2009), 282-271.
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.
Primary Subjects: 58J50
Secondary Subjects: 34B30
Keywords: Laplace operator; eigenvalues; Legendre polynomials
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ajm/1256650872
Asian Journal of Mathematics
