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arXiv · 1311.0887

A note on generalized Dirac eigenvalues for split holonomy and torsion

Ilka Agricola·Hwajeong Kim
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Abstract

We study the Dirac spectrum on compact Riemannian spin manifolds $M$ equipped with a metric connection $\nabla$ with skew torsion $T\inΛ^3 M$ in the situation where the tangent bundle splits under the holonomy of $\nabla$ and the torsion of $\nabla$ is of `split' type. We prove an optimal lower bound for the first eigenvalue of the Dirac operator with torsion that generalizes Friedrich's classical Riemannian estimate.

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Ilka Agricola, Hwajeong Kim. 2013-11-04. A note on generalized Dirac eigenvalues for split holonomy and torsion. https://arxiv.org/abs/1311.0887

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