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- W3099223421 abstract "Let $M$ be a connected, noncompact, complete Riemannian manifold, consider the operator $L=DD +nn V$ for some $Vin C^2(M)$ with $exp[V]$ integrable w.r.t. the Riemannian volume element. This paper studies the existence of the spectral gap of $L$. As a consequence of the main result, let $rr$ be the distance function from a point $o$, then the spectral gap exists provided $lim_{rrtoinfty}sup Lrr<0$ while the spectral gap does not exist if $o$ is a pole and $lim_{rrtoinfty}inf Lrrge 0.$ Moreover, the elliptic operators on $mathbb R^d$ are also studied." @default.
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- W3099223421 date "1999-10-01" @default.
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- W3099223421 title "Existence of the spectral gap for elliptic operators" @default.
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- W3099223421 doi "https://doi.org/10.1007/bf02412223" @default.
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