Abstract
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.
Citation
John Lott. "Collapsing and the differential form Laplacian: The case of a smooth limit space." Duke Math. J. 114 (2) 267 - 306, 15 August 2002. https://doi.org/10.1215/S0012-7094-02-11424-0
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