3 papers
math.DG2025
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…
math.SP2025
Manifolds with many small wormholes: norm resolvent and spectral convergence
Colette Anné, Olaf Post
We present results concerning the norm convergence of resolvents for wildperturbations of the Laplace-Beltrami operator. This article is a continuation of ouranalysis on wildly per…
math.SP2024
A graph without zero in its spectra
Colette Anné, Hela Ayadi, Marwa Balti +1
In this paper we consider the discrete Laplacian acting on 1-forms and we study its spectrum relative to the spectrum of the 0-form Laplacian. We show that the non zero spectrum ca…