2 papers
hep-th2001
Bochner-Weitzenboeck formulas associated with the Rarita-Schwinger operator
Thomas Branson, Oussama Hijazi
In this paper, we establish basic material for future investigations of the analysis and geometry of the twistor bundle, and of differential operators with the twistor bundle as so…
math.DG2000
Dirac Operator on Embedded Hypersurfaces
Oussama Hijazi, Sebastian Montiel, Xiao Zhang
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 t…