Optimal eigenvalue estimate for the Dirac-Witten operator on bounded domains with smooth boundary

Mathematics – Differential Geometry

Scientific paper

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2007, 18 pages, submitted 02 June 2007

Scientific paper

10.1007/s11005-008-0267-2

Eigenvalue estimate for the Dirac-Witten operator is given on bounded domains (with smooth boundary) of spacelike hypersurfaces satisfying the dominant energy condition, under four natural boundary conditions (MIT, APS, modified APS, and chiral conditions). This result is a generalisation of Friedrich's inequality for the usual Dirac operator. The limiting cases are also investigated.

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