Eigenvalue Comparison for Tubular Domains

DOI10.2307/2048228zbMath0702.58076OpenAlexW4235494785MaRDI QIDQ3480972

Jeffrey M. Lee

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2048228

zbMATH Keywords

eigenvalueRiemannian manifoldspectrumLaplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global submanifolds (53C40) Global differential geometry (53C99)

Related Items

Unnamed Item ⋮ Kähler tubes of constant radial holomorphic sectional curvature ⋮ Upper bounds for the first Dirichlet eigenvalue of a tube around an algebraic complex curve of \(\mathbb C\mathbb{P}^{n}(\lambda)\) ⋮ Bounding the first Dirichlet eigenvalue of a tube around a complex submanifold of \(\mathbb CP^n(\lambda)\) in terms of the degrees of the polynomials defining it

Cites Work

• Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula
• Eigenvalue comparison theorems and its geometric applications
• A general comparison theorem with applications to volume estimates for submanifolds