### On $m$-accretive Schrödinger-type operators with singular potentials on manifolds of bounded geometry.

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We consider a Schrödinger-type differential expression ${H}_{V}={\nabla}^{*}\nabla +V$, where $\nabla $ is a ${C}^{\infty}$-bounded Hermitian connection on a Hermitian vector bundle $E$ of bounded geometry over a manifold of bounded geometry $(M,g)$ with metric $g$ and positive ${C}^{\infty}$-bounded measure $d\mu $, and $V$ is a locally integrable section of the bundle of endomorphisms of $E$. We give a sufficient condition for $m$-sectoriality of a realization of ${H}_{V}$ in ${L}^{2}\left(E\right)$. In the proof we use generalized Kato’s inequality as well as a result on the positivity of $u\in {L}^{2}\left(M\right)$ satisfying the...

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