Eigenvalue estimates for Dirac operator with the generalized APS boundary condition

Daguang Chen

doi:10.1016/j.geomphys.2006.03.009

paper

Eigenvalue estimates for Dirac operator with the generalized APS boundary condition

arXiv:math/0701843 · doi:10.1016/j.geomphys.2006.03.009

Abstract

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.

12pages