Some remarks on the Dirac-Witten operator on pseudo-Riemannian manifolds
The authors derive optimal lower bounds on the Dirac-Witten operator on pseudo-Riemannian manifolds. These expressions are exhibited in terms of the intrinsic and extrinsic curvatures, and in a limiting case it is shown that the space-like submanifold is an Einstein manifold if the normal bundle is flat.NEWLINENEWLINE Contents include: An Introduction (which summarizes previous work); Lower bounds for the eigenvalues (which introduces their notation and preliminaries); Conformal lower bounds; Generalized conformal lower bounds; Conformal submanifolds with non-empty boundary; References (with fifteen items).
scientific article; zbMATH DE number 6069289
scientific article