Mathematics – Differential Geometry
Scientific paper
2007-12-19
Mathematics
Differential Geometry
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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