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arxiv: math/0701843 · v1 · submitted 2007-01-29 · 🧮 math.DG

Eigenvalue estimates for Dirac operator with the generalized APS boundary condition

classification 🧮 math.DG
keywords boundaryconditiongeneralizedatiyah-patodi-singerdiracoperatorboundscompact
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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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