1208.2031 (Ilka Agricola et al.)

Twistorial eigenvalue estimates for generalized Dirac operators with
torsion    [PDF]

Ilka Agricola, Julia Becker-Bender, Hwajeong Kim

We study the Dirac spectrum on compact Riemannian spin manifolds $M$ equipped with a metric connection $\nabla$ with skew torsion $T\in\Lambda^3M$ by means of twistor theory. An optimal lower bound for the first eigenvalue of the Dirac operator with torsion is found that generalizes Friedrich's classical Riemannian estimate. We also determine a novel twistor and Killing equation with torsion and use it to discuss the case in which the minimum is attained in the bound.

View original: http://arxiv.org/abs/1208.2031