Optimal Eigenvalues Estimate for the Dirac Operator on Domains with Boundary |
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| Authors: | Email author" target="_blank">Simon?RaulotEmail author |
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| Institution: | (1) Institut élie Cartan BP 239, Université de Nancy 1, 54506, Vandœ uvre-lès-Nancy, Cedex, France |
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| Abstract: | 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.
Mathematics Subject Classifications (2000). Differential Geometry, Global Analysis, 53C27, 53C40, 53C80, 58G25, 83C60. |
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| Keywords: | Dirac Operator spectrum boundary condition ellipticity constant mean curvature hypersurfaces |
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