Optimal eigenvalue estimate for the Dirac-Witten operator on bounded domains with smooth boundary
Differential Geometry
2009-11-13 v1
Abstract
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.
Cite
@article{arxiv.0712.3127,
title = {Optimal eigenvalue estimate for the Dirac-Witten operator on bounded domains with smooth boundary},
author = {Daniel Maerten},
journal= {arXiv preprint arXiv:0712.3127},
year = {2009}
}
Comments
2007, 18 pages, submitted 02 June 2007