Dirac Operator on Embedded Hypersurfaces

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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

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Differential Geometry, Mathematical Physics, 53C27;53C40;53C80;58G25

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http://salesiana.dossiersoluciones.com/handle/123456789/60662

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012262
 http://arxiv.org/abs/math/0012262

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arXiv