On Eigenvalue Estimates for the Submanifold Dirac Operator

نویسنده

  • NICOLAS GINOUX
چکیده

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 of spinor fields generalizing that of Killing spinors. We conclude by translating these results in terms of intrinsic twisted Dirac operators.

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تاریخ انتشار 2001