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Lower bounds for the eigenvalues of the Dirac operator on quaternionic Kähler spin manifolds

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Publication:1914539
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zbMath0859.58029MaRDI QIDQ1914539

Oussama Hijazi, Jean-Louis Milhorat

Publication date: 7 April 1997

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)


zbMATH Keywords

Dirac operatorslower bound on eigenvaluesquaternionic-Kähler spin manifolds


Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)


Related Items

On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or quaternion-Kähler structure ⋮ The Hijazi inequalities on complete Riemannian \(\mathrm{Spin}^c\) manifolds ⋮ Eigenvalues of the basic Dirac operator on quaternion-Kähler foliations ⋮ Decomposition of the spinor bundle of a quaternionic Kähler spin-manifold under the action of the fundamental 4-form ⋮ An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold admitting parallel one-form



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