Dirac Operator on Embedded Hypersurfaces
arXiv:math/0012262
Abstract
New extrinsic lower bounds are given for the classical Dirac operator on the boundary of a compact domain of a spin manifold. The main tool is to solve some boundary problems for the Dirac operator of the domain under boundary conditions of Atiyah-Patodi-Singer type. Spinorial techniques are used to give simple proofs of classical results for compact embedded hypersurfaces.
16 pages, LaTex, to appear in Math. Res. Letters