A Characterization of the 2-Sphere by Eigenfunctions

DOI10.2307/2041729zbMath0327.53030OpenAlexW2765072443MaRDI QIDQ4092611

Shiu-Yuen Cheng

Publication date: 1976

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2041729

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Global Riemannian geometry, including pinching (53C20)

Related Items

Eigenvalues and Eigenfunctions of Riemannian Manifolds, Characterizations of the compactness of Riemannian manifolds by eigenfunctions, and a partial proof of a conjecture by Hamilton, On the second eigenvalue of the Laplace operator penalized by curvature, A characterization of the disk by eigenfunction of the Steklov eigenvalue, Differentiable rigidity of hypersurface in space forms