Article ID Journal Published Year Pages File Type
6425897 Advances in Mathematics 2013 34 Pages PDF
Abstract

We study the Dirac spectrum on compact Riemannian spin manifolds M equipped with a metric connection ∇ with skew torsion T∈Λ3M 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)
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