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math.DG2021
Small eigenvalues of the rough and Hodge Laplacians under fixed volume
Colette Anné, Junya Takahashi
For each degree p, we construct on any closed manifold a family of Riemannian metrics, with fixed volume such that any positive eigenvalues of the rough and Hodge Laplacians acting…
math.DG2010★ 5 cited
Partial collapsing and the spectrum of the Hodge Laplacian
Colette Anné, Junya Takahashi
The goal of the present paper is to calculate the limit spectrum of the Hodge-de Rham operator under the perturbation of collapsing one part of a manifold obtained by gluing togeth…