On eigenfunctions corresponding to first non-zero eigenvalue of the sphere $ S^n(c) $ on a Riemannian manifold

On eigenfunctions corresponding to first non-zero eigenvalue of the sphere $ S^n(c) $ on a Riemannian manifold

We recall classical themes such as 'on hearing the shape of a drum' or 'can one hear the shape of a drum?', and the discovery of Milnor, who constructed two flat tori which are isospectral but not isometric. In this article, we consider the question of finding conditions under wh...

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Bibliographic Details
Main Authors: Sharief Deshmukh, Amira Ishan, Olga Belova
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:AIMS Mathematics
Subjects:
first non-zero eigenvalue
eigenfunction
laplace operator
ricci curvature
isometric to sphere
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241633
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