Collapsing and the Differential Form Laplacian : the Case of a Singular Limit Space
نویسنده
چکیده
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.
منابع مشابه
Collapsing and the Differential Form Laplacian : the Case of a Smooth Limit Space
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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