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

Eigenvalue estimates for Dirac operator with the generalized APS boundary condition · wovepaper