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

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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.
Final version of the case of a smooth limit space. The case of a singular limit space will appear separately

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/78125

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902111
 http://arxiv.org/abs/math/9902111

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arXiv