We give a lower bound for the eigenvalues of the Dirac operator on a compact domain of a Riemannian spin manifold under the $\MIT$ bag boundary condition. The limiting case is characterized by the existence of an imaginary Killing spinor.
Eigenvalues of the Dirac Operator on Manifolds with Boundary
Eigenvalue Estimates For The Dirac Operator On Kaehler-Einstein Manifolds Of Even Complex Dimension
Eigenvalue estimates of the spin^c Dirac operator and harmonic forms on kähler-Einstein manifolds
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