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Optimal Eigenvalues Estimate for the Dirac Operator on Domains with Boundary
Authors:Simon?Raulot  author-information"  >  author-information__contact u-icon-before"  >  mailto:raulot@iecn.u-nancy.fr"   title="  raulot@iecn.u-nancy.fr"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Institut élie Cartan BP 239, Université de Nancy 1, 54506, Vandœ uvre-lès-Nancy, Cedex, France
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.
Keywords:Dirac Operator  spectrum  boundary condition  ellipticity  constant mean curvature hypersurfaces
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