Eigenvalues of the Dirac Operator on Manifolds with Boundary

Details Eigenvalues of the Dirac Operator on Manifolds with Boundary Eigenvalues of the Dirac Operator on Manifolds with Boundary

2000-12-29

arxiv.org/abs/math/0012261v1

Mathematics

Differential Geometry

13 pages, LaTex

Scientific paper

10.1007/s002200100475

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. Limiting cases are characterized by the
existence of real Killing spinors and the minimality of the boundary.

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