English

Eigenvalue estimates for Dirac operator with the generalized APS boundary condition

Differential Geometry 2009-11-13 v1

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.

Keywords

Cite

@article{arxiv.math/0701843,
  title  = {Eigenvalue estimates for Dirac operator with the generalized APS boundary condition},
  author = {Daguang Chen},
  journal= {arXiv preprint arXiv:math/0701843},
  year   = {2009}
}

Comments

12pages