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The Higher Spin Dirac Operators on 3-Dimensional Manifolds

Yasushi Homma
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Abstract

We study the higher spin Dirac operators on 3-dimensional manifolds and show that there exist two Laplace type operators for each associated bundle. Furthermore, we give lower bound estimations for the first eigenvalues of these Laplace type operators.

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Yasushi Homma. 2000-06-28. The Higher Spin Dirac Operators on 3-Dimensional Manifolds. https://arxiv.org/abs/math/0006210

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