We give lower bounds for the eigenvalues of the submanifold Dirac operator in terms of intrinsic and extrinsic curvature expressions. We also show that the limiting cases give rise to a class generalizing that of Killing spinors. We conclude by translating these results in terms of intrinsic twisted Dirac operators.
Eigenvalue estimates for the Dirac-Schrödinger operators
Lower bounds for the eigenvalue estimates of the submanifold Dirac operator
Eigenvalue estimates for hypersurfaces in $H^m \times R$ and applications
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