Sharp Bounds for Eigenvalues and Multiplicities on Surfaces of\n Revolution

1996/04/12 by Martin Engman, Engman, Martin, Martin F. Engman
Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic and Geometric Analysis #Analytic Number Theory Research #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.dg-ga/9604003

openalex publication_date 1996/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We find sharp upper bounds for the multiplicities and the numerical values of\nall the distinct eigenvalues on a surface of revolution diffeomorphic to the\nsphere.\n

Related

• Upper bounds for Steklov eigenvalues of a hypersurface of revolution
• Eigenvalue maximization for surfaces of revolution with prescribed boundary
• The spectrum and isometric embeddings of surfaces of revolution
• Lower bounds for the sum of the reciprocals of eigenvalues of bounded domains in ℝⁿ, spheres, and closed orientable surfaces
• A disc maximizes Laplace eigenvalues among isoperimetric surfaces of revolution