摘要

We study the Dirac spectrum on compact Riemannian spin manifolds M equipped with a metric connection del with skew torsion T is an element of Lambda M-3 in the situation where the tangent bundle splits under the holonomy of del and the torsion of del is of %26apos;split%26apos; type. We prove an optimal lower bound for the first eigenvalue of the Dirac operator with torsion that generalizes Friedrich%26apos;s classical Riemannian estimate.

  • 出版日期2014-11

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