Collapsing and the Differential Form Laplacian : The Case of a Smooth Limit Space
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🧮 math.DG
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laplacianlimitboundedcollapsingp-formsmoothspaceanalyze
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We analyze the limit of the p-form Laplacian under a collapse, with bounded sectional curvature and bounded diameter, to a smooth limit space. As an application, we characterize when the p-form Laplacian has small positive eigenvalues in a collapsing sequence.
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