Optimal eigenvalues estimate for the Dirac operator on domains with boundary

Details Optimal eigenvalues estimate for the Dirac operator on domains with boundary Optimal eigenvalues estimate for the Dirac operator on domains with boundary

2006-03-21

arxiv.org/abs/math/0603512v1

Letters in Mathematical Physics 73 (2005) 135--145

Mathematics

Differential Geometry

10 pages

Scientific paper

We give a lower bound for the eigenvalues of the Dirac operator on a compact
domain of a Riemannian spin manifold under the $\MIT$ bag boundary condition.
The limiting case is characterized by the existence of an imaginary Killing
spinor.

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