Sharp upper bound for the first non-zero Neumann eigenvalue for bounded domains in rank-1 symmetric spaces

DOI10.1090/S0002-9947-96-01682-0zbMath0866.35081OpenAlexW1540423030MaRDI QIDQ4717106

A. R. Aithal, Gopalkrishnan Santhanam

Publication date: 21 July 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-96-01682-0

zbMATH Keywords

first eigenvaluecentre of mass

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

Szegö-Weinberger type inequalities for symmetric domains in simply connected space forms ⋮ A shape optimization problem for the first mixed Steklov-Dirichlet eigenvalue ⋮ Sharp local estimates for the Szegő-Weinberger profile in Riemannian manifolds ⋮ Maximizers beyond the hemisphere for the second Neumann eigenvalue ⋮ An upper bound for the first nonzero Neumann eigenvalue ⋮ On eigenvalue problems related to the Laplacian in a class of doubly connected domains ⋮ A sharp upper bound for the first eigenvalue of the Laplacian of compact hypersurfaces in rank-1 symmetric spaces ⋮ Isoperimetric upper bounds for the first eigenvalue ⋮ Critical domains for the first nonzero Neumann eigenvalue in Riemannian manifolds

Cites Work

• Laplacians and Riemannian submersions with totally geodesic fibres
• Lectures on geodesics in Riemannian geometry
• Sharp Upper Bound to the First Nonzero Neumann Eigenvalue for Bounded Domains in Spaces of Constant Curvature
• Riemannian geometry
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