Extrinsic upper bounds for eigenvalues of Dirac-type operators
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- by N. Anghel PDF
- Proc. Amer. Math. Soc. 117 (1993), 501-509 Request permission
Abstract:
Extrinsic estimates from above for eigenvalues of generalized Dirac operators on compact manifolds are given. They depend on the second fundamental form of any isometric immersion of the manifold in some Euclidean space and the curvature term in the Bochner-Weitzenböck formula for the square of the Dirac operator. Most of the known extrinsic upper bounds for the first eigenvalue of the Laplacian are in this way easily recovered and extended.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 501-509
- MSC: Primary 58G25; Secondary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-1993-1111213-4
- MathSciNet review: 1111213