Eigenvalues of the Dirac Operator on Manifolds with Boundary
Differential Geometry
2009-10-31 v1 Mathematical Physics
math.MP
Abstract
Under standard local boundary conditions or certain global APS boundary conditions, we get lower bounds for the eigenvalues of the Dirac operator on compact spin manifolds with boundary. Limiting cases are characterized by the existence of real Killing spinors and the minimality of the boundary.
Keywords
Cite
@article{arxiv.math/0012261,
title = {Eigenvalues of the Dirac Operator on Manifolds with Boundary},
author = {Oussama Hijazi and Sebastian Montiel and Xiao Zhang},
journal= {arXiv preprint arXiv:math/0012261},
year = {2009}
}
Comments
13 pages, LaTex