Collapsing and the differential form Laplacian: The case of a smooth limit space
John Lott
Source: Duke Math. J. Volume 114, Number 2 (2002), 267-306.
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.
Primary Subjects: 58J50
Secondary Subjects: 31C12, 35P15
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1087575411
Mathematical Reviews number (MathSciNet):
MR1920190
Digital Object Identifier: doi:10.1215/S0012-7094-02-11424-0
Zentralblatt MATH identifier:
01820925
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