5 citations · 5 across the 4 of their papers we have counts for
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Small eigenvalues of the Hodge-Laplacian with sectional curvature bounded below
Colette Anné, Junya Takahashi
For each degree p and each natural number k 1, we construct a oneparameter family of Riemannian metrics on any oriented closed manifold with volume one and the sectional curv…
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…
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…
P-spectrum and collapsing of connected sums, calculus of the limit
Colette Anné, Junya Takahashi
The goal of the paper is to calculate the limit sectrum of the Hodge-Laplace operator under the perturbation of collapse of one part of a connected sum. This gives some new results…