Laplace eigenvalues of ellipsoids obtained as analytic perturbations of the unit sphere

DOI10.1007/s10455-023-09901-4OpenAlexW4366992667WikidataQ125361463 ScholiaQ125361463MaRDI QIDQ2700896

Anandateertha G. Mangasuli, Aditya Tiwari

Publication date: 27 April 2023

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-023-09901-4

zbMATH Keywords

eigenvaluesLaplace operatorellipsoidsGauss curvatureLichnerowicz theorem

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Cites Work

• Unnamed Item
• Sufficient conditions for positive definiteness of tridiagonal matrices revisited
• On the eigenvalues of the Laplacian for certain perturbations of the standard Euclidean metric on \(S^{2}\)
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Laplace–Beltrami spectrum of ellipsoids that are close to spheres and analytic perturbation theory
• ON THE EIGENVALUES OF THE LAPLACIAN FOR LEFT-INVARIANT RIEMANNIAN METRICS ON S³

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