Lower bounds for eigenvalues of hypersurface Dirac operators

DOI10.4310/MRL.1998.v5.n2.a6zbMath0961.58013WikidataQ126277638 ScholiaQ126277638MaRDI QIDQ1128275

Xiao Zhang

Publication date: 29 May 2001

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

Riemannian manifoldlower bounds for eigenvaluescompact spin hypersurfaceshypersurface Dirac operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (12)

ON EIGENVALUE ESTIMATES FOR THE SUBMANIFOLD DIRAC OPERATOR ⋮ Extrinsic conformal lower bounds of eigenvalue for Dirac operator ⋮ Lower bounds for the eigenvalue estimates of the submanifold Dirac operator ⋮ Limiting case of the spin hypersurface Dirac operator arising in the positive mass theorem for black holes ⋮ Generalization of Kim's estimates in terms of the trace of divergence‐free symmetric tensor ⋮ Une nouvelle estimation extrinsèque du spectre de l'opérateur de Dirac.. (A new extrinsic estimate for the spectrum of the Dirac operator) ⋮ The Dirac-Witten operator on pseudo-Riemannian manifolds ⋮ Eigenvalue estimates for the Dirac-Schröder operators ⋮ Lower bounds for the eigenvalues of the spin\(^{c}\) Dirac-Witten operator ⋮ Some estimates over spacelike spin hypersurfaces of Lorentzian manifold ⋮ Lower bounds for eigenvalues of the Dirac-Witten operator ⋮ Estimation on the Spin${}^c$ twisted Dirac operators

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