On the first Hodge eigenvalue of isometric immersions

DOI10.1090/S0002-9939-04-07702-0zbMath1054.58023OpenAlexW1499313194MaRDI QIDQ4825651

Alessandro Savo

Publication date: 28 October 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07702-0

zbMATH Keywords

first eigenvalueisometric immersionminimal immersionLaplacian on \(p\)-forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (7)

On the spectrum of the Dirichlet-to-Neumann operator acting on forms of a Euclidean domain ⋮ Eigenvalue estimates of Reilly type in product manifolds and eigenvalue comparison for strip domains ⋮ Extrinsic eigenvalues estimates for hypersurfaces in product spaces ⋮ A Poincaré formula for differential forms and applications ⋮ Hodge-Laplace eigenvalues of convex bodies ⋮ Optimal lower eigenvalue estimates for Hodge-Laplacian and applications ⋮ Spin\(^{c}\) geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian sub\-manifolds

Cites Work

• Unnamed Item
• Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
• Extrinsic bounds on \(\lambda_1\) of \(\Delta\) on a compact manifold
• On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
• Eigenvalue and gap estimates for the Laplacian acting on 𝑝-forms

This page was built for publication: On the first Hodge eigenvalue of isometric immersions