Spectral positivity and Riemannian coverings
نویسندگان
چکیده
منابع مشابه
Spectral positivity and Riemannian coverings
Let (M,g) be a complete non-compact Riemannian manifold. We consider operators of the form ∆g + V , where ∆g is the non-negative Laplacian associated with the metric g, and V a locally integrable function. Let ρ : (M̂ , ĝ) → (M,g) be a Riemannian covering, with Laplacian ∆ĝ and potential V̂ = V ◦ ρ. If the operator ∆ + V is non-negative on (M,g), then the operator ∆ĝ + V̂ is non-negative on (M̂, ĝ)...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2013
ISSN: 0024-6093
DOI: 10.1112/blms/bdt030