Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425897 | Advances in Mathematics | 2013 | 34 Pages |
Abstract
We study the Dirac spectrum on compact Riemannian spin manifolds M equipped with a metric connection â with skew torsion TâÎ3M 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 the Killing equation with torsion and use it to discuss the case in which the minimum is attained in the bound.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ilka Agricola, Julia Becker-Bender, Hwajeong Kim,