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.
"The Higher Spin Dirac Operators on 3-Dimensional Manifolds." Tokyo J. Math. 24 (2) 579 - 596, December 2001. https://doi.org/10.3836/tjm/1255958196