Eigenvalue estimates for Dirac operator with the generalized APS boundary condition

Mathematics – Differential Geometry

Scientific paper

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12pages

Scientific paper

10.1016/j.geomphys.2006.03.009

Under two boundary conditions, the generalized Atiyah-Patodi-Singer boundary
condition and the modified generalized -Atiyah-Patodi-Singer boundary
condition, we get the lower bounds for the eigenvalues of the fundamental Dirac
operator on compact spin manifolds with nonempty boundary.

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