Collapsing and the Differential Form Laplacian : The Case of a Singular Limit Space

Mathematics – Differential Geometry

Scientific paper

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25 pages

Scientific paper

In this paper, which is a sequel to math.DG/9902111, we analyze the limit of
the p-form Laplacian under a collapse with bounded sectional curvature and
bounded diameter to a singular limit space. As applications, we give results
about upper and lower bounds on the j-th eigenvalue of the p-form Laplacian, in
terms of sectional curvature and diameter.

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