Dirac Operator on Embedded Hypersurfaces

Details Dirac Operator on Embedded Hypersurfaces Dirac Operator on Embedded Hypersurfaces

2000-12-29

arxiv.org/abs/math/0012262v1

Mathematics

Differential Geometry

16 pages, LaTex, to appear in Math. Res. Letters

Scientific paper

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.

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