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arxiv: math/0006210 · v1 · submitted 2000-06-28 · 🧮 math.DG

The Higher Spin Dirac Operators on 3-Dimensional Manifolds

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keywords operatorsdimensionaldirachigherlaplacemanifoldsspintype
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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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