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

John Lott

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

John Lott

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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.

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John Lott. 2001-09-12. Collapsing and the Differential Form Laplacian : The Case of a Smooth Limit Space. https://arxiv.org/abs/math/9902111

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