Extrinsic Upper Bounds for Eigenvalues of Dirac-Type Operators

DOI10.2307/2159188zbMath0772.53025OpenAlexW3022271150MaRDI QIDQ4038389

Nicolae Anghel

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2159188

zbMATH Keywords

second fundamental formDirac operators

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (7)

`Universal' inequalities for the eigenvalues of the Hodge de Rham Laplacian ⋮ An orbifold relative index theorem ⋮ A generalization of a Levitin and Parnovski universal inequality for eigenvalues ⋮ Inequalities of eigenvalues for the Dirac operator on compact complex spin submanifolds in complex projective spaces ⋮ Extrinsic eigenvalue estimates of Dirac operators on Riemannian manifolds ⋮ Extrinsic estimates for eigenvalues of the Dirac operator ⋮ The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang

Cites Work

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• Positive scalar curvature and the Dirac operator on complete Riemannian manifolds
• Eigenvalue estimates on homogeneous manifolds
• Extrinsic bounds on \(\lambda_1\) of \(\Delta\) on a compact manifold
• On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
• On the Ratio of Consecutive Eigenvalues
• On Automorphisms of A Kählerian Structure

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