On the generic Simplicity of the spectrum for Connection Laplacian and $G$-simplicity on Principal Bundles

Geovane C. Brito, Marcus A. M. Marrocos

In this paper, we prove that, for a residual set of $C^k$ connections defined on a smooth vector bundle $E\to M$, all eigenvalues of the connection Laplacian operator $\mathscr{…