Extrinsic estimates for eigenvalues of the Dirac operator

DOI10.1007/S00209-008-0376-8zbMath1169.53037arXivmath/0701847OpenAlexW1971119239MaRDI QIDQ1024202

Da-Guang Chen

Publication date: 16 June 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701847

zbMATH Keywords

eigenvalueDirac operatorYang-type inequalitytest spinor

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27)

Related Items (2)

Extrinsic conformal lower bounds of eigenvalue for Dirac operator ⋮ Estimates for lower order eigenvalues of quadratic polynomials of the Laplacian

Cites Work

• An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds
• Bounds on eigenvalues of Dirichlet Laplacian
• Upper bounds of small eigenvalues of the Dirac operator and isometric immersions
• Eigenvalue estimates on homogeneous manifolds
• Extrinsic bounds for eigenvalues of the Dirac operator
• The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H. C. Yang
• Estimates on eigenvalues of Laplacian
• A unified approach to universal inequalities for eigenvalues of elliptic operators
• Inequalities of eigenvalues for the Dirac operator on compact complex spin submanifolds in complex projective spaces
• On the Ratio of Consecutive Eigenvalues
• Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds
• Extrinsic Upper Bounds for Eigenvalues of Dirac-Type Operators
• Une inégalité du type Payne-Polya-Weinberger pour le laplacien brut
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