, Volume 221, Issue 2, pp 255-265

Eigenvalues of the Dirac Operator on Manifolds¶with Boundary

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Under standard local boundary conditions or certain global APS boundary conditions, we get lower bounds for the eigenvalues of the Dirac operator on compact spin manifolds with boundary. For the local boundary conditions, limiting cases are characterized by the existence of real Killing spinors and the minimality of the boundary.

Received: 22 August 2000 / Accepted: 15 March 2001