Sharp bottom spectrum and scalar curvature rigidity
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We establish a sharp upper bound for the bottom spectrum of the Beltrami Laplacian on universal covers of closed Riemannian manifolds with a scalar curvature lower bound. Moreover, we prove a scalar curvature rigidity theorem when this bound is achieved. Additionally, we prove a net characterization of scalar curvature for general complete noncompact Riemannian manifolds.
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Cited by 2 Pith papers
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Scalar curvature, sharp bottom spectrum and geometric rigidity
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