Dirac Operator on Embedded Hypersurfaces
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/0012262,
title = {Dirac Operator on Embedded Hypersurfaces},
author = {Oussama Hijazi and Sebastian Montiel and Xiao Zhang},
journal= {arXiv preprint arXiv:math/0012262},
year = {2007}
}
Comments
16 pages, LaTex, to appear in Math. Res. Letters